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4 years ago

Help me with this pleaae

Mathematics

1 answer:

marissa [1.9K]4 years ago

6 0

Answer:

(D) 30pi inches

Step-by-step explanation:

First, we use the given volume, the given height, and the formula of the volume of a cylinder to find the radius of the base. Then we use the radius of the base to find the circumference of the base.

$volume = \pi r^2 h$

$volume = 6750 \pi~in.^3$

We set the formula equal to the volume and replace h with 30 in.

$\pi r^2 h = 6750 \pi~in.^3$

$\pi r^2 \times 30 ~in. = 6750 \pi~in.^3$

Divide both sides by 30pi in.

$r^2 = 225 ~in.^2$

Take the square root of each side.

$\sqrt{r^2} = \sqrt{225 ~in.^2}$

$r = 15~in.$

The radius of the base is 15 in.

Now we use the radius of the base and the formula of the circumference of a circle to find the answer.

$circumference = 2 \pi r$

$circumference = 2 \pi \times 15~in.$

$circumference = 30 \pi ~in.$

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