Question

The largest sphere is carved out of a cube of side 14 cm. Find the total surface area and volume of the sphere​

Answer 1

Answer:

edge length of the cube = 14cm

maximum diameter of sphere= edge length of cube

diameter if sphere= 14cm

let be the radius of the sphere= r

and then,

2r= 14cm

r= 7cm

volume of sphere= 4/3πr³

4/3 x 22/7 x 7x7x7 cm³

4/3x 22x7x7 cm³

88 x 49/3

1437.333 cm³

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Answer 2

Answer:

Below in bold.

Step-by-step explanation:

The radius of the sphere = 1/2 * 14 = 7cm.

So Its surface area = 4 pi r^2 = 4 pi 49

= 196pi cm^2.

or 615.75 cm^2 to the nearest hundredth.

Volume = 4/3 pi 7^3

= 457 1/3 pi cm^3

or

1436.76 cm^3 to the nearest hundredth.