Question

if in triangle abc, a=12 cm, b=5 cm, c=13 cm then r

Answer 1

Answer:

When the triangle is revolved around the side 12cm, the solid obtained is a cone with height 12cm, radius 5cm and slant height 13cm

Volume of cone =

3

1

πr

2

h

where, r is the radius of the base of the cone and h is the height.

Hence, volume of this cone =

3

1

×π×5

2

×12=100πcm

3

When the triangle is revolved around the side 5cm, the solid obtained is a cone with height 5cm, radius 12cm and slant height 13cm

Hence, volume of this cone =

3

1

×π×12

2

×5=240πcm

3

Ratio of the volumes 100π:240π=5:12