Question

for a fixed volume the height ,h cm, of a cone is inversely proportional to the square of the base radius of 6cm and a height of 5cm.the base radius of cone B is 3cm and the height of cone C is 1.25cm.if all the cones have the same volume, find : 1. The height of cone B 2. The base radius of cone C

Answer 1

Answer:

Cone A

H=k/r2

5=K/6 square

5=k/36

cross multiply

K=36×5

K=180

Cone B

H=k/r square

H=180/3 square

H=180/9

H=20

Height =180

Cone C

H=k/r square

1.25=180/r Square

Cross multiply

180=1.25r Square

180/1.25=r Square

144=r Square

Square root on both sides

R=12

I hope this helps