Question

A cylindrical glass of radius 7cm is filled with mango juice upto a height of 17cm.when carefully observed the bottom of the glass is covered by a transparent cone of height 6cm and radius 7cm

Answer 1

given:
cylinder:
radius=7 cm
height=17 cm

cone:
height= 6 cm
radius= 7 cm

solution:
volume of cylinder=22/7 *r^2 *h
=22/7 *7*7* 17
=2618 cm^3
volume of cone= 1/3 * 22/7 * r^2 *h
= 1/3 *22/7 * 7*7*6
= 308 cm^3
total volume of juice in the glass = 2618-308
=2310 cm^3
= 2.31 litres
in each glass the seller will save 0.31 liters of juice.

Answer 2

Volume = volume − volume of juice of cylinder of cone.

=π(7)

2

(17)−

3

1

π(7)

2

(6)

=π(49)(17)−π(49)(2)

=π(49)(17−2)

=π(49)(15)=2309.07cm

3

.