Question

A can of nacho cheese has a radius of 8 inches and a height of 4 inches. a can of

jalapeños has a radius of 4 inches. what is the height of the jalapeño can if both
cylinders have the same volume? (show your work.)
(hint: start by finding the exact volume of the nacho cheese can.)

Answer 1

8 inches

Explanation:

Nacho cheese

v= Pi×radius×2×height

v = 3.14×8×2×4 = 200.96

jalapeño

3.14×4×2=25.12

200.96÷25.12=8

the height is 8

to check your work you can do

(multiply by 8 and see if it equals 200.96)

3.14×4×2×8 = 200.96

since the volume is the same as the volume for nacho cheese we can say that 8 inches for height is correct