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Question

Mathematics Question on Surface Area of a Sphere

Find the surface area of a sphere of radius:
(i) 10.5 cm
(ii) 5.6 cm
(iii) 14 cm

Answer

(i) Radius (r) of sphere = 10.5 cm
Surface area of sphere = 4πr24\pi r^2
= 4 × 227\frac{22}{7} × (10.5cm)2
= 1386 cm2
Therefore, the surface area of a sphere having radius 10.5cm is 1386 cm2 .


(ii) Radius(r) of sphere = 5.6 cm
Surface area of sphere = 4πr24\pi r^2
= 4 × 227\frac{22}{7} × (5.6cm)2
= 394.24 cm2
Therefore, the surface area of a sphere having radius 5.6 cm is 394.24 cm2 .


(iii) Radius (r) of sphere = 14 cm
Surface area of sphere =4πr2 4\pi r^2
= 4 × 227\frac{22}{7} × (14cm)2
= 2464 cm2
Therefore, the surface area of a sphere having radius 14 cm is 2464 cm2 .