Question

Find the volume of a right circular cone that has a height of 16 m and a base with a

Answer 1

Answer:

The volume of a right circular cone that has a height of 16 m and a base with a  circumference of 14.7 m is 3,620.62 m³

Step-by-step explanation:

The right cone (or cone of revolution, or right circular cone) is the solid of revolution formed by rotating a right triangle around one of its legs. The bottom circle of the cone is called the base. That is, a cone is a three-dimensional figure with a circular base. A curved surface connects the base and the vertex.

The volume of a 3-dimensional solid is the amount of space it occupies.

The volume V of a cone with radius r is one-third the area of ​​the base B times the height h. This is:

$V=\frac{1}{3}*A*h$

where A=π*r²

Then: V=$\frac{1}{3}$ *π*r²*h

In this case r=14.7 m and h=16 m. Replacing:

V=$\frac{1}{3}$ *π*(14.7 m)²*16 m

Solving, you get:

V=3,620.62 m³

The volume of a right circular cone that has a height of 16 m and a base with a  circumference of 14.7 m is 3,620.62 m³