Geometric Measurement & Dimension - Common Core: High School - Geometry

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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.

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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.

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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.

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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

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

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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

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

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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

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

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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

$\frac{2007}{143}$

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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

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

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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

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

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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

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

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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.

$\ 1928 = 3 \pi h \\h = \frac{1928}{3 \pi}$

Thus the height is

$\frac{1928}{3 \pi}$

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