Question

1) A solid sphere has a diameter of 14cm.Find its surface area. What Is the answer:616 716 816

Answer 1

`\boxed{\sf Surface \ area \ of \ a \ solid \ sphere = 616 \ cm^(2)}`

Given:

Diameter of a solid sphere = 14 cm

To Find:

Surface area of a solid sphere

Explanation:

`\sf Radius \: (r) = (Diameter)/(2) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ \ \ \ \ = (14)/(2) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ \ \ \ \ = 7 \: cm`

`\sf Surface \ area \ of \ solid \ sphere = 4\pi r^(2) \\ \\ \sf \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 4 * (22)/(7) * {(7)}^(2) \\ \\ \sf \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 4 * \frac{22}{ \cancel{7}} * \cancel{7} * 7 \\ \\ \sf \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 4 * 22 * 7 \\ \\ \sf \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 88 * 7 \\ \\ \sf \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 616 \: {cm}^(2)`