Question

A cylinder has a radius of 11 millimeters. Its volume is 6,458.98 cubic millimeters. What is the height of the cylinder?

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

Answer 1

the height is 17millimeters

Explanation:

Given: radius = 11, π = 3.14, volume = 6, 458.98

formula for the volume of the cylinder

V = π · r² · h

to find the height of the cylinder we will say

h = (V / 3.14)/ r²

h = (6,458.98/ 3.14)/ 11²

h = (6,458.98/ 3.14)/ 121

h = (6,458.98/ 3.14)/ 121

h = 2057/ 121

h = 17

Check:

V = 3.14 · 11² · 17

V = 3.14 · 121 · 17

V = 379.94 · 17

V = 6,458.98

Hope this helps, happy learning! =D

Answer 2

height=17

Explanation:

6,458.98= (3.14)(11)(11)h

(3.14)(11)(11)= 379.94

6,458.98= 379.94 h

379.94 379.94

height= 17