Find the surface area of a sphere of diameter:
i) 14 cm ii) 21 cm iii) 3.5 m
Solution:
i) Diameter, d = 14 cm
Radius, r = 14cm/2 = 7cm
Surface area of a sphere = 4πr2
= 4 × 22/7 × 7cm × 7cm
= 616 cm2
ii) Diameter, d = 21 cm
Radius, r = 21cm/2
Surface area of a sphere = 4πr2
= 4/2 × 22/7 × 21/2 × 21/2
= 1386 cm2
iii) Diameter, d = 3.5 m
Radius, r = 3.5/2 = 1.75m
Surface area of a sphere = 4πr2
= 4 × 22/7 × 1.75m x 1.75m
= 38.5 m2
The surface area of a sphere with diameters 14 cm, 21 cm, and 3.5 m are 616 cm2, 1386 cm2, and 38.5 m2 respectively.
☛ Check: NCERT Solutions for Class 9 Maths Chapter 13
Video Solution:
Find the surface area of a sphere of diameter: i) 14 cm ii) 21 cm iii) 3.5 m
Class 9 Maths NCERT Solutions Chapter 13 Exercise 13.4 Question 2
Summary:
It is given that there are spheres having diameters of 14 cm, 21 cm, and 3.5 m. We have found that the surface areas are 616 cm2, 1386 cm2, and 38.5 m2 respectively.
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