Cavalieri's Principle: CCSS.Math.Content.HSG-GMD.A.2

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Geometry › Cavalieri's Principle: CCSS.Math.Content.HSG-GMD.A.2

Questions 1 - 10

1

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

Explanation

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.

2

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

Explanation

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.

3

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

Explanation

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.

4

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

Explanation

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.

5

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

Explanation

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.

6

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

Explanation

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.

7

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

Explanation

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.

8

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

Explanation

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.

9

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

Explanation

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.

10

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

Explanation

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.

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