johnathanhenderson
johnathanhenderson johnathanhenderson
  • 01-05-2021
  • Mathematics
contestada

A cylinder has a height of 11 inches. Its volume is 4,973.76 cubic inches. What is the radius of the cylinder?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Respuesta :

samuelonum1
samuelonum1 samuelonum1
  • 06-05-2021

Answer:

12 inches

Step-by-step explanation:

Given data

Height= 11 inces

Volume=  4,973.76 cubic inches.

The expression for the volume of a cylinder is

V= πr^2h

substitute

4,973.76= 3.14*r^2*11

4,973.76= 34.54r^2

r^2= 4,973.76/ 34.54

r^2= 144

Square root both sides

r=√144

r=12 inches

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