Geometric Measurement & Dimension - Geometry

Card 0 of 244

Question

Find the volume of a hemisphere with radius . Round your answer to the nearest hundredth.

Answer

In order to find the volume of a hemisphere, we need to recall the volume of a hemisphere equation.

$V = \frac{2 \pi}{3} r^{3}$

We simply plug in for $\uptext{r}$ .

$V=\frac{2}{3}\cdot\pi\cdot ( 495 )^3$

Now we round our answer to the nearest hundredth.

Compare your answer with the correct one above

Question

If a cylinder has a volume of and a radius of what is the height?

Answer

In order to find the height, we need to recall the equation for the volume of a cylinder.

$V = \pi h r^{2}$

Since we are given the volume, and the radius, we can simply plug in those values into the equation.

$\V=1010 \r=13$

$\1010 = 169 \pi h \\h = \frac{1010}{169 \pi}$

Thus the height is

$\frac{1010}{169 \pi}$

Compare your answer with the correct one above

Question

Find the volume of a cube, if its surface area is .

Round your answer to decimal places.

Answer

In order to find the volume, we need to remember the equation that involves both surface area, and volume.

Where is surface area and is the length.

Now we plug 744 for and solve for .

$\744 = 6 l \l = 124.0$

Now since we have the width, we can plug it into the volume formula, which is

$V = w^{3}$

Where is the width and volume.

Now plug in 124.0 for .

$\V = \left( 124.0 \right)^{3} \V = 1906624.0$

So the final answer is.

Compare your answer with the correct one above

Question

Find the volume of a sphere with radius . Round your answer to the nearest hundredth.

Answer

In order to find the volume of a sphere, we need to recall the volume of a sphere equation.

$V = \frac{4 \pi}{3} r^{3}$

We simply plug in for $\uptext{r}$ .

$V=\frac{4}{3}\cdot\pi\cdot ( 344 )^3$

Now we round our answer to the nearest hundredth.

Compare your answer with the correct one above

Question

Find the volume of a sphere with radius . Round your answer to the nearest hundredth.

Answer

In order to find the volume of a sphere, we need to recall the volume of a sphere equation.

$V = \frac{4 \pi}{3} r^{3}$

We simply plug in for $\uptext{r}$ .
$V=\frac{4}{3}\cdot\pi\cdot ( 188 )^3$

Now we round our answer to the nearest hundredth.

Compare your answer with the correct one above

Question

Find the volume of a hemisphere with radius . Round your answer to the nearest hundredth.

Answer

In order to find the volume of a hemisphere, we need to recall the volume of a hemisphere equation.

$V = \frac{2 \pi}{3} r^{3}$

We simply plug in for $\uptext{r}$ .

$V=\frac{2}{3}\cdot\pi\cdot ( 347 )^3$

Now we round our answer to the nearest hundredth.

Compare your answer with the correct one above

Question

Find the volume of a sphere with radius . Round your answer to the nearest hundredth.

Answer

In order to find the volume of a sphere, we need to recall the volume of a sphere equation.

$V = \frac{4 \pi}{3} r^{3}$

We simply plug in for $\uptext{r}$ .

$V=\frac{4}{3}\cdot\pi\cdot ( 224 )^3$

Now we round our answer to the nearest hundredth.

Compare your answer with the correct one above

Question

Find the volume of a hemisphere with radius . Round your answer to the nearest hundredth.

Answer

In order to find the volume of a hemisphere, we need to recall the volume of a hemisphere equation.

$V = \frac{2 \pi}{3} r^{3}$

We simply plug in for $\uptext{r}$ .

$V=\frac{2}{3}\cdot\pi\cdot ( 163 )^3$

Now we round our answer to the nearest hundredth.

Compare your answer with the correct one above

Question

Find the volume of a sphere with radius . Round your answer to the nearest hundredth.

Answer

In order to find the volume of a sphere, we need to recall the volume of a sphere equation.

$V = \frac{4 \pi}{3} r^{3}$

We simply plug in for $\uptext{r}$ .

$V=\frac{4}{3}\cdot\pi\cdot ( 399 )^3$

Now we round our answer to the nearest hundredth.

Compare your answer with the correct one above

Question

Find the volume of a hemisphere with radius . Round your answer to the nearest hundredth.

Answer

In order to find the volume of a hemisphere, we need to recall the volume of a hemisphere equation.

$V = \frac{2 \pi}{3} r^{3}$

We simply plug in for $\uptext{r}$ .

$V=\frac{2}{3}\cdot\pi\cdot ( 7 )^3$

Now we round our answer to the nearest hundredth.

Compare your answer with the correct one above

Question

Find the volume of a sphere with radius . Round your answer to the nearest hundredth.

Answer

In order to find the volume of a sphere, we need to recall the volume of a sphere equation.

$V = \frac{4 \pi}{3} r^{3}$
We simply plug in for $\uptext{r}$ .

$V=\frac{4}{3}\cdot\pi\cdot ( 409 )^3$

Now we round our answer to the nearest hundredth.

Compare your answer with the correct one above

Question

Find the volume of a hemisphere with radius . Round your answer to the nearest hundredth.

Answer

In order to find the volume of a hemisphere, we need to recall the volume of a hemisphere equation.

$V = \frac{2 \pi}{3} r^{3}$

We simply plug in for $\uptext{r}$ .

$V=\frac{2}{3}\cdot\pi\cdot ( 464 )^3$

Now we round our answer to the nearest hundredth.

Compare your answer with the correct one above

Question

Find the volume of a sphere with radius . Round your answer to the nearest hundredth.

Answer

In order to find the volume of a sphere, we need to recall the volume of a sphere equation.

$V = \frac{4 \pi}{3} r^{3}$

We simply plug in for $\uptext{r}$ .

$V=\frac{4}{3}\cdot\pi\cdot ( 93 )^3$

Now we round our answer to the nearest hundredth.

Compare your answer with the correct one above

Question

Find the volume of a hemisphere with radius . Round your answer to the nearest hundredth.

Answer

In order to find the volume of a hemisphere, we need to recall the volume of a hemisphere equation.

$V = \frac{2 \pi}{3} r^{3}$

We simply plug in 341 for $\uptext{r}$ .

$V=\frac{2}{3}\cdot\pi\cdot ( 341 )^3$

Now we round our answer to the nearest hundredth.

Compare your answer with the correct one above

Question

If a cone has a radius of and a height of what is the volume?

Answer

In order to find the volume, we need to recall the equation for the volume of a cone.

$V = \frac{\pi h}{3} r^{2}$

Since we are given the radius, and the height, we can simply plug in those values into the equation.

$\r=8 \h=11$

$V = \frac{704 \pi}{3}$
Thus the volume is

$\frac{704 \pi}{3}$

Compare your answer with the correct one above

Question

If a cone has a volume of and a radius of what is the height?

Answer

In order to find the height, we need to recall the equation for the volume of a cone.

$V = \frac{\pi h}{3} r^{2}$
Since we are given the volume, and the radius, we can simply plug in those values into the equation.

$\V=277 \r=3$

$\277 = 3 \pi h \\h = \frac{277}{3 \pi}$

Thus the height is

$\frac{277}{3 \pi}$

Compare your answer with the correct one above

Question

If a pyramid has a base width of a base length of and a volume of what is the height?

Answer

In order to find the height, we need to recall the equation for the volume of a pyramid,

$V = \frac{h lw}{3}$

Since we are given the length, width, and volume, we can simply plug those values into the equation.

$669 = \frac{143 h}{3}$

Now we solve for .

$h = \frac{2007}{143}$

Thus the height is

$\frac{2007}{143}$

Compare your answer with the correct one above

Question

If a cylinder has a volume of and a radius of what is the height?

Answer

In order to find the height, we need to recall the equation for the volume of a cylinder.

$V = \pi h r^{2}$

Since we are given the volume, and the radius, we can simply plug in those values into the equation.

$\V=837 \r=2$

$837 = 4 \pi h = \frac{837}{4 \pi}$

Thus the height is

$\frac{837}{4 \pi}$

Compare your answer with the correct one above

Question

If a cylinder has a volume of and a radius of what is the height?

Answer

In order to find the height, we need to recall the equation for the volume of a cylinder.

$V = \pi h r^{2}$

Since we are given the volume, and the radius, we can simply plug in those values into the equation.

$\V=909 \r=10$

$\909 = 100 \pi h \\h = \frac{909}{100 \pi}$

Thus the height is

$\frac{909}{100 \pi}$

Compare your answer with the correct one above

Question

If a cylinder has a volume of and a radius of what is the height?

Answer

In order to find the height, we need to recall the equation for the volume of a cylinder.

$V = \pi h r^{2}$

Since we are given the volume, and the radius, we can simply plug in those values into the equation.

$\1586 = 144 \pi h \\h = \frac{793}{72 \pi}$

Thus the height is

$\frac{793}{72 \pi}$

Compare your answer with the correct one above

Tap the card to reveal the answer