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Q.

Find the volume of the sphere whose diameter is 7 cm. Take π=227.

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a

530 cm3

b

532.2 cm3

c

536.8 cm3

d

540 cm3

answer is C.

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Detailed Solution

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Concept: The capacity of a sphere is measured by its volume. It's the area that the spherical takes up. Cubic units, such as m3, cm3, in3, and so on, are used to measure the volume of a sphere.

The sphere is round and three-dimensional in shape. It has three axes that define its shape: x-axis, y-axis, and z-axis. All items with volume, such as football and basketball, are instances of spheres.

Because the cross-section of the sphere is a circle, the volume here is determined by the diameter of the radius of the sphere.

Volume of Sphere is calculated using formula:

VolumeofSphere=43πr3

Given: D = 72=3.5 cm

Therefore,

V=43πr3

43π3.53

43×227×3.53

22×421×42.8=88×6.1

V=536.8cm3

Hence, the volume 536.8 cm3.

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