A right circular cylinder of radius r cm and height h cm (h>2r) just encloses a sphere of diameter
a. r cm
b. 2r cm
c. h cm
d. 2h cm

Solution:

As the cylinder encloses the sphere

Diameter of sphere is equal to the diameter of the cylinder i.e. 2r cm

Therefore, the right circular cylinder encloses a sphere of diameter of 2r cm.

✦ Try This: Find the surface area of a sphere of radius 5.6 cm.

It is given that

Radius of sphere = 5.6 cm

Surface area of sphere = 4πr²

Substituting the values

= 4 x 22/7 × (5.6)²

= 394.24 cm²

Therefore, the surface area of a sphere is 394.24 cm².

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

NCERT Exemplar Class 10 Maths Exercise 12.1 Problem 16

A right circular cylinder of radius r cm and height h cm (h>2r) just encloses a sphere of diameter a. r cm, b. 2r cm, c. h cm, d. 2h cm

Summary:

A right circular cylinder of radius r cm and height h cm (h>2r) just encloses a sphere of diameter 2r cm

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