the outer radius of a spherical container is 7 cm and the thickness of the container is 3cm .find the vo
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the outer radius of a spherical container is 7 cm and the thickness of the container is 3cm .find the vo
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Verified answer
Correct Question :-
The outer radius of a spherical container is 7 cm and the thickness of the container is 3 cm. Find the volume.
Given :-
▪ The outer radius, R of the spherical container is 7 cm and the thickness is 3 cm. So the inner radius, r will be (7-3) = 4 cm
To Find :-
▪ Volume of the container.
Solution :-
Since, there are outer and inner radius while there is also the thickness. So it would form a ring whose volume can be calculated as,
⇒ 4/3 π { (Outer radius)³ - (Inner radius)³ }
⇒ 4/3 × 22/7 × { (7)³ - (4)³ }
⇒ 4/3 × 22/7 × (343 - 64)
⇒ 4/3 × 22/7 × 279
⇒ 4 × 22/7 × 93
⇒ 4 × 22 × 13.28
⇒ 1168.64 cm³
Hence, The volume of the spherical container is 1168.64 cm³.