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A shuttle cock used for playing badminton has the shape of the combination of
a. a cylinder and a sphere
b. a cylinder and a hemisphere
c. a sphere and a cone
d. frustum of a cone and a hemisphere

Solution:

We know that

A shuttle cock used for playing badminton has the shape of the combination of a. a cylinder and a sphere, b. a cylinder and a hemisphere, c. a sphere and a cone, d. frustum of a cone and a hemisphere

Which is

= hemisphere + frustum of a cone

= frustum of a cone and a hemisphere

Therefore, a shuttlecock has the shape of the combination of frustum of a cone and a hemisphere.

✦ Try This: A bucket is in the shape of the frustum of a right circular cone as shown in figure. Find the curved surface area. (Use π = 3.14)

A bucket is in the shape of the frustum of a right circular cone as shown in figure. Find the curved surface area. (Use π = 3.14

We know that

Curved surface of frustum = π(R + r)s

Where r and R is the radius of base and top

Diameter = 5 m

Radius = 5/2 = 2.5 m

From the figure

r = 1 m

S = 40 m

Substituting the values in the formula

Curved surface of frustum = π(2.5 + 1)40

= π(3.5)40

= 3.14 x 3.5 x 40

= 439.6 m²

Therefore, the curved surface area is 439.6 m².

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 13

NCERT Exemplar Class 10 Maths Exercise 12.1 Problem 6