# Geometry

One right circular cone is set inside a larger circular cone. The cones share the same Axis, the same vertex, and the same height. Find the volume of the space between the cones of the diameter of the inside cone is 6in., the diameter of the outside cone is 9in and the height of both is 5 in. Round to the nearest tenth.

1. 👍
2. 👎
3. 👁
1. The surface area of a cone is 16.8pi in squared. The radius 3 in. What is the slant height?

1. 👍
2. 👎
2. for the volumes, just subtract the smaller from the larger:

π/3 (81)(5) = π/3 (36)(5) = 75π

area = πr(r+s)
16.8π = π(3)(3+s)
5.6=3+s
s=2.6
s cannot be less than r.

Evidently you do not want to include the base of the cone, so
16.8π = πrs
16.8π = 3πs
s = 5.6

1. 👍
2. 👎

## Similar Questions

1. ### Mathematics

the volumeof a right circular cone is 5 litres. calculate the volumes of the two parts into which the cone is divided by a plane parallel to the base one third of the way down from the vertex to the base to the nearest ml

2. ### math

Two right circular cone, one upside down in the other. The two bases are parallel. The vertex of the smaller cone lies at the center of the larger cone’s base. The larger cone’s height and base radius are 12 and 16 ft,

3. ### Math

a cone and a hemisphere share the base that is a semicirclee with radius 3 and the cone is inscribed inside the hemisphere. find the volume of the region inside the hemisphere

4. ### Calculus

Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile

1. ### Math

Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile

2. ### Calculus

Given a right circular cone, you put an upside-down cone inside it so that its vertex is at the center of the base of the larger cone, and its base is parallel to the base of the larger cone. If you choose the upside-down cone to

3. ### mathe

Show that a right-circular cylinder of greatest volume that can be inscribed in a right-circular cone that has a volume that is 4/9 the volume of the cone.

4. ### Related Rates

Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile

1. ### Math

Thevolume of a right circular cone is 5 litres.calculate the volumes of the two parts into which the cone is divided by a plane parallel to the base,one-third of the way down from the vertex to the base.

2. ### calculus

Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile

3. ### ap Calculus

A right circular cone has a fixed slant height, s= 12 inches. Determine the radius and the height of the cone with maximum volume

4. ### calculus

A right triangle of hypotenuse L is rotated about one of its legs to generate a right circular cone find the largest volume that such a cone could occupy