Question

Suppose that the volume of a right circular cylinder is 500 pi cubic centimeters and the area of its base is 5 centimeters. what is the Hight of the cylinder? please help quickly!!!
100 points
A. 20 cm B. 10 cm C. 12 cm D. 25 cm

Answer 1

Answer:

A) 20 cm

Step-by-step explanation:

V = pi * r^2 * h

500pi = pi * 5^2 * h

500 = 25 * h

h = 20 cm

hopes this helps! <3

Answer 2

Answer:

A.  20 cm

Step-by-step explanation:

Volume of a cylinder

$\sf V=\pi r^2h$

where:

• V = volume
• r = radius
• h = height

Given:

• V = 500π cm³
• r = 5 cm

Substitute the given values into the formula and solve for h:

$\begin{aligned}\textsf{V} & = \sf \pi r^2h\\\implies \sf 500 \pi & = \sf \pi (5)^2 h\\\implies \sf 500 \pi & = \sf 25 \pi h\\\sf \dfrac{500 \pi}{25 \pi} & = \sf h\\\sf h & = \sf \dfrac{500}{25}\\\sf h & = \sf 20 \:\:cm\end{aligned}$

Therefore, the height of the cylinder is 20 cm.

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