Question

A jewel box ( see fig.) is in the shape of a cuboid of dimensions 30 cm × 15 cm ×10 cm surmounted by a half part of a cylinder as shown in the figure. Then the volume of the box is​

Answer 1

Volume of a cuboid = l × b × h

Volume of a right circular cylinder = πr²h

But here, volume of the cylinder = ½(πr²h)

Total volume = lbh + ½(πr²h)

CUBOID:-

l × b × h = 15 cm × 30 cm × 10 cm

= 4500 cm³

CYLINDER:- (r = 15/2 = 7.5 cm; h = 30 cm)

½(πr²h) = ½[(3.147)(7.5 cm)²(30 cm)]

= ½(58416.1875) cm³

= 29208.09375 cm³

∴ Total volume = 4500 cm³ + 29208.09375 cm³

⇒ Total volume = 33708.09375 cm³ {Answer}