Question

A cone and a cylinder have the same base and height, as shown below.

The volume of the cylinder is 84 sin? What can be concluded about the volume of the cone? Check all that apply
The volume of the cone is
the volume of the cylinder.
The volume of the cylinder is 2 times the volume of the cone.
The volume of the cone is less than the volume of the cylinder

Answer 1

The correct answers are:

A) The volume of the cone is 1/3 the volume of the cylinder.

C) The volume of the cone is less than the volume of the cylinder.

D) The expression 84(pi)/3 finds the volume of the cone.

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Answer 2

The volume of the cone is less than the volume of the cylinder .

Cone volume is 1/3 the volume of cylinder volume

Explanation:

We can see from the volume formulas:

for cone volume V = (1/3)*(pi)*(r^2)*h

for cylinder volume C = (pi)*(r^2)*h

for equal base and height, C = 3*V

The volume of the cone is less than the volume of the cylinder .

Cone volume is 1/3 the volume of cylinder volume