A cylinder with a radius of 1 cm and a height of 21 cm has the same volume as a cone with a height of 7 cm. What is the radius o

Question

Doss [256]

2 years ago

8

A cylinder with a radius of 1 cm and a height of 21 cm has the same volume as a cone with a height of 7 cm. What is the radius o

f the cone?

Mathematics

1 answer:

Maru [420] · Answer 1 · 2022-05-09T03:12:50+03:00

Maru [420]2 years ago

3 0

Volume of the cylinder = πr²h = π(1)² (21) = 21π cm³

Volume of the cone = 1/3 π r² h

21π = 1/3 π (r)² (7)

r³ = 21π ÷ (7/3 π)

r² = 9

r = 3

Answer : Radius = 3