Question

The radius and height of a conical cup is in the ratio 3:4. If the volume of the cup is 2,376 cm3, which of these can be slant height of the cone, rounded off to the nearest whole number?

Answer 1

Volume of cone V=

3

1

πr

2

h

put h=4x and r=3x

V=

3

1

×π×9x

2

×4x=12πx

3

=96πcm

3

Thus, x

3

=8⇒x=2

∴ slant height l=

h

2

+r

2

=5x=10cm