Volume of a Figure - Math

Card 0 of 192

Question

What is the volume of a sphere with a radius of ?

Answer

To solve for the volume of a sphere you must first know the equation for the volume of a sphere.

The equation is

Then plug the radius into the equation for yielding $V=\frac{4}{3}\pi(7^{3})$

Then cube the radius to get $V=\frac{4}{3}\pi(343)$

Multiply the answer by $\frac{4}{3}$ and to yield $457.33\pi$ .

The answer is $457.33\pi$ .

Compare your answer with the correct one above

Question

What is the volume of a sphere with a radius of ?

Answer

To solve for the volume of a sphere you must first know the equation for the volume of a sphere.

The equation is

Then plug the radius into the equation for yielding

$V=(\frac{4}{3})(18^{3})(\pi)$

Then cube the radius to get

$V=(\frac{4}{3})(5832)(\pi)$

Multiply the answer by and to yield $V=7776\pi$ .

The answer is $7776\pi$ .

Compare your answer with the correct one above

Question

What is the volume of a sphere with a radius of ?

Answer

The formula for the volume of a sphere is $V=\frac{4}{3}\pi r^3$ .

Plug in our radius to solve:

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

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

$V=\frac{4}{3}\pi*27$

$V=36\pi$

Compare your answer with the correct one above

Question

What is the volume of a sphere with a radius of ?

Answer

The formula for the volume of a sphere is $V=\frac{4}{3}\pi r^3$ .

Plug in our radius to solve:

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

$V=\frac{4}{3}\pi 5^3$

$V=\frac{4}{3}\pi*125$

$V=166\tfrac{2}{3}\pi$

Compare your answer with the correct one above

Question

What is the volume of a sphere with a radius of ?

Answer

The formula for the volume of a sphere is $V=\frac{4}{3}\pi r^3$ .

Plug in our radius to solve:

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

$V=\frac{4}{3}\pi 2^3$

$V=\frac{4}{3}\pi*8$

$V=10\tfrac{2}{3}\pi$

Compare your answer with the correct one above

Question

What is the volume of a sphere with a radius of $\pi$ ?

Answer

The formula for the volume of a sphere is $V=\frac{4}{3}\pi r^3$ .

Plug in our radius to solve:

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

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

Remember, an exponent just means a number times itself. That means that $\pi\pi^3=\pi^4$ .

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

Compare your answer with the correct one above

Question

What is the volume of a sphere with a radius of ?

Answer

The formula for the volume of a sphere is $V=\frac{4}{3}\pi r^3$ .

Plug in our radius to solve:

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

$V=\frac{4}{3}\pi 6^3$

$V=\frac{4}{3}\pi*216$

$V=288\pi$

Compare your answer with the correct one above

Question

What is the volume of a sphere with a radius of ?

Answer

The formula for the volume of a sphere is $V=\frac{4}{3}\pi r^3$ .

Plug in our given values.

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

$V=\frac{4}{3}\pi*27$

$V=36\pi$

Compare your answer with the correct one above

Question

If the volume of a sphere is $300\pi$ , what is the radius?

Answer

The formula for volume of a sphere is $V=\frac{4}{3}\pi r^3$ .

Plug in our given information.

$300\pi=\frac{4}{3}\pi r^3$

Notice that the $\pi$ 's cancel out.

$300=\frac{4}{3}r^3$

Divide both sides by $\frac{4}{3}$ . Since we're dividing by a fraction, that means we need to multiply both sides by the reciprocal: $\frac{3}{4}$ .

$300*\frac{3}{4}=r^3$

$\sqrt[3]{225}=\sqrt[3]{r^3}$

$\sqrt[3]{225}=r$

Compare your answer with the correct one above

Question

What is the volume of a sphere with a radius of ?

Answer

To solve for the volume of a sphere you must first know the equation for the volume of a sphere.

The equation is

Then plug the radius into the equation for yielding

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

Then cube the radius to get

$V=\frac{4}{3}(27})(\pi)$

Multiply the answer by and to yield

$V=36\pi$ .

The answer is $V=36\pi$ .

Compare your answer with the correct one above

Question

What is the volume of a sphere with a radius of ?

Answer

To solve for the volume of a sphere, use the equation:

$Volume=\frac{4}{3}(\pi)(radius^{3})$

Substitute the given radius into the equation:

$Volume=\frac{4}{3}(\pi)(9^{3})$

$Volume=(\frac{4}{3})(\pi)(729)$

$Volume=972 \pi$

Compare your answer with the correct one above

Question

The drawing above shows the base of a solid rectangular prism. $\overline{AB}=10$ and $\overline{BC}=6$ . If the height of the rectangular solid is 3, what is its volume?

Answer

$VOLUME = BASE \ast WIDTH \astHEIGHT$

$VOLUME = 10\ast6\ast3=180$

Compare your answer with the correct one above

Question

What is the volume of a cube with a side of

Answer

The formula for volume of a cube is .

Plug in our given side and solve:

Compare your answer with the correct one above

Question

What is the side of a cube if its volume is ?

Answer

The formula for volume of a cube is or .

For this cube that means .

Take the cube root of both sides:

$\sqrt[3]{125}=\sqrt[3]{s^3}$

Compare your answer with the correct one above

Question

What is the volume of a rectangular prism with a length of , height of , and width of ?

Answer

The formula for volume of a rectangular prism is .

Plug in our given information:

Compare your answer with the correct one above

Question

What is the volume of a rectangular prism with a length of , width of , and height of ?

Answer

The formula for volume of a rectangular prism is .

Plug in our given information:

Compare your answer with the correct one above

Question

What is the volume of a cube with a side length of ?

Answer

To find the volume of a cube you must cube the side length.

The equation looks like this: $Volume=s^{3}$

Cube the side length, , to find the answer: $V=16^{3}$

The answer is .

Compare your answer with the correct one above

Question

What is the volume of a rectangular solid with a base of , length of , and height of ?

Answer

To find the volume of a rectangular solid we must know the equation:

We then plug in our numbers for base, length, and height:

Multiply to get the answer of .

Compare your answer with the correct one above

Question

What is the volume of a rectangular solid with a base of , length of , and a height of ?

Answer

To find the volume of a rectangular solid we must know the equation is

We then plug in our numbers for base, length, and height

$V=8\cdot 5\cdot 9$

Multiply to get the answer of .

Compare your answer with the correct one above

Question

What is the volume of a cube with a side length of ?

Answer

To find the volume of a cube you must find the cube root of the side length.

The equation looks like this

$V=s^{3}$

Cube the side length, to find the answer

$V=4^{3}$

The answer is .

Compare your answer with the correct one above

Tap the card to reveal the answer