Q8 of 67 Page 195

The left part of a solid is in the shape of a cylinder while the right part is in the shape of cone. The diameter of cylinder is 14 cm and height is 40 cm while the diameter of the conical part is 14 cm and height is 12 cm. Find the volume of the solid.


The solid will look like as shown


Diameter of cylinder = 14 cm


Radius of cylinder = r = = 7 cm


Height of cylinder = h = 40 cm


Volume of cylinder = πr2h


= × 72 × 40


= 22 × 7 × 40


= 6160 cm3


Diameter of base of cone = 14 cm


Radius of base of cone = r1 = = 7 cm


Height of cone = 12 cm


Volume of cone = πr2h


= × × 72 × 12


= 22 × 7 × 4


= 616 cm3


Volume of solid = Volume of cylinder + Volume of cone


= 6160 + 616


= 6776 cm3


Therefore, volume of solid is 6776 cm3


More from this chapter

All 67 →
6

The diameter of a solid metallic hemisphere is 42 cm. Find the cost of polishing its total surface at 20 paise per square cm.

 7

A cone, a hemisphere and a cylinder stand on equal bases and have the same height. Find the ratio of their volumes.

 9

Find the number of cones of radius 3 cm and height 6 cm that can be made by melting a metallic sphere of radius 9 cm.

 10

A village, having a population of 4000, requires 150 litres of water per head per day. It has a tank measuring 20 m × 15 m × 6 m. For how many days will the water of this tank last?