Find the surface area of a sphere of diameter

Asked by admin @ 17/08/2021 in Math viewed by 365 People

Find the surface area of a sphere of diameter:
(i) 14cm
(ii) 21 cm
(iii) 3.5m

Answered by admin @ 17/08/2021

Surface Area (SA) of Sphere = 4π(r^2)

(i) Diameter = 14 cm
So, Radius (r) = 7 cm
SA = (4)(22/7)(7)(7)
= (4)(22)(7)
= 616 cm^2

(ii) Diameter = 21 cm
So, Radius(r) = (21/2) cm
SA = (4)(22/7)(21/2)(21/2)
= (4)(22)(3/2)(21/2)
= (4)(11)(3)(21/2)
= (2)(11)(3)(21)
= 1386 cm^2

(iii) Diameter = 3.5 cm
So, Radius = (3.5/2) = (35/20) = (7/4) cm
SA = (4)(22/7)(7/4)(7/4)
= (22)(7/4)
= (11)(7/2)
= 36.5 cm^2

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