Question

Use 3.14 for pie
A cone has a volume of 33 cubic inches. If a cylinder has the same height and the same radius as the cone, what is the volume of the
cylinder?

Answer 1

Answer:

99 in³

Step-by-step explanation:

cone: 1/3 πr²h

Cylinder: πr²h

cone : 33    Cylinder = 3 x 33 = 99

Answer 2

Answer:

V = 98.955cubic inches

Step-by-step explanation:

Volume of a cone

V = πr^2h/3

V = volume

π = pie

r = radius

h = height

Given

V = 33

π - 3.14

Since r = h

Let r = h = y

Substitute y for r and h

V = πr^2h/3

33 = 3.14 * y^2 * y/3

33 = 3.14/3 * y^2 * y

33 = 1.047y^3

y^3 = 33/1.047

y^3 = 31.5186

y = 3.1587

y ≈ 3.16

Since y = 3.16

Then r = h = 3.16

Volume of a cylinder

V = πr^2h

V = 3.14 * 3.1587^2 * 3.1587

= 3.14 * 9.977 * 3.1587

= 98.955 cubic inches