A jewel box ( see fig.) is in the shape of a cuboid of dimensions 30 cm x 15 cm x10 cm surmounted by a half part of
a cylinder as shown in the figure. Then the volume of the box is
Answers
Given : A jewel box ( see fig.) is in the shape of a cuboid of dimensions 30 cm x 15 cm x10 cm surmounted by a half part of a cylinder
To Find : volume of the box
Solution:
Volume of the box = Volume of the cuboid + Volume of half cylinder
Volume of cuboid = Length * Breadth * Height
=> Volume of cuboid = 30 x 15 x 10 = 4500 cm²
Volume of half cylinder = (1/2)πR²h
R = Radius = Diameter/2 = 15/2
h = Height = 30 cm
Volume of half cylinder = (1/2)π(15/2)²*30
= 3,375π/4
use π = 22/7
= 2,651.79 cm²
Volume of the box = 4500 + 2,651.79
= 7151.79 cm²
volume of the box is 7151.79 cm²
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