Course / Category - Bank Clerical Prelims

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Bank Clerical Prelims

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Banking And Insurance

Bank Clerical Prelims

Self Learning

₹4800 ₹2000 +
Taxes

Join Now Syllabus

Self Learning

Available

(Click here to know About SELF LEARNING)

MOCK TESTS

(Click here to attempt Free Mock Test)

Concepts Learning Progress

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Maths, English, Verbal Reasoning, Non Verbal Reasoning, Critical Reasoning, Verbal Ability, Vedic Maths

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Maths / Surface Area and Volume / Surface Area of Sphere

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Surface Area of Sphere

Surface area of a Sphere: The surface area of sphere of radius r is given by

$S=4pi r^2 ;sq;units$

Illustration: Find the surface area of sphere of radius 7cm.

Solution: We known that the surface area S of a sphere of radius r is given by

$small S=4pi r^2$ with

Given: r = 7cm

$small S=4times frac{22}{7}times 7times 7$

$small =616cm^2$

Illustration: The diameter of the moon is approximately one fourth of the diameter of the Earth. Find the ratio of their surface areas.

Solution: Let the Moon's diameter = d

Given: The diameter of the moon is approximately one fourth of the diameter of the Earth

Hence, Earth's diameter = 4d

Let $small S_{1}$ and $small S_{2}$ denote the surface areas of Moon and Earth respectively.. Then,

$small S_{1}=4 pi left ( frac{d}{2} right )^{2}$

$small S_{2}=4 pi left ( frac{4d}{2} right )^{2}$

$small frac{S_{1}}{S_{2}}=frac{4;pi left ( frac{d}{2} right )^{2}}{4 pi left ( frac{4d}{2} right )^{2}}$

$small frac{S_{1}}{S_{2}}=frac{left ( frac{d}{2} right )^{2}}{left ( 2d right )^{2}}$

$small frac{S_{1}}{S_{2}}=frac{d^{2}}{4}times frac{1}{4d^{2}}$

$small frac{S_{1}}{S_{2}}= frac{1}{16}$

Hence the ratio of their surface areas = 1 : 16

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Surface Area of Sphere

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