Question

ASAP: Please help!?
The area of this cylinder's base is one hundred fifty square inches. The height of the cylinder is 6 inches. What is the volume of the cone that has the same base area and height? Show the steps of your solution and explain your work.

cylinder having a height of 6 inches

Answer 1

what is the formlula for volume for cone?

1/3 pi r^2 h

Answer 2

pi r^2 part we know it to be 50
h= 6

Answer 3

1/3

Answer 4

The formula for the volume of a cylinder is:
v1 = π(r^2)h
and πr^2 is the same thing as the base area. Since we're given that that is 150, we can find the radius:
πr^2 = 150
r^2 = 150/π
r = √(150/π)
And we're given that the height is 6
The volume of a cone is:
V = (π/3)(r^2)h
Plugging in r = √(150/π) and h = 6
V = (π/3)(√(150/π)^2)(6)
V = (π/3)(150/π)(6)
V = 300
300 cubic inches

Answer 5

Thank you ♥

Answer 6

My Pleasure.