Question

A right circular cone has a radius of 6 inches and a slant length of 10 inches. A right cylinder has a radius of 8 inches and a height of 12 inches. How many cones full of water are needed to fill the cylinder

Answer 1

6.4 cones full of water

Explanation:

Given data

Radius of cone= 6inches

Slant height= 10 inches

Volume of cone= 1/3πr^2h

V= 1/3*3.142*6^2*10

V= 1/3*3.142*36*10

V= 1/3*1131.12

V= 377.04 cubic inches

Radius of right cylinder= 8 inches

Height= 12 inches

Volume of cylinder= πr^2h

Volume= 3.142*8^2*12

Volume= 3.142*64*12

Volume=2413.056 cubic inches

Hence the number of cone full of water needed to fill the cylinder is

=Volume of cylinder/volume of cone

=2413.056/377.04

=6.4 cones full of water