Question

The object below was made by placing a cone on top of a cylinder.The base of the cone is congruent to the base of the cylinder. What is the volume, in cubic centimeters of the object

Answer 1

100.5 cm³

Explanation:

You don't give the dimensions of the objects, so let's assume they are like the object below.

1. Volume of cylinder

The formula for the volume V of a cylinder is

V = πr²h

a. Calculate the radius

D = 2r

r = D/2 = 4/2 = 2 cm

b Calculate the height

h = 10 cm - 3 cm = 7 cm

b. Calculate the volume

V = π × 2² × 7 = 28π cm³

2. Volume of cone

The volume for the volume (V) of a cone is

V = ⅓πr²h

V = ⅓ π × 2² × 3 = 4π cm³

3. Total volume

V = 28π cm³ + 4π cm³ = 32π cm³ ≈ 100.5 cm³