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The radius of a sphere is 10 cm. Find its surface area and volume. 2. The diameter of an iron ball is 6 cm. Find its surface area and volume (use pi = 3.14).
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1. The radius of a sphere is 10 cm. Find its surface area and volume.
Identify the given radius and the formulas for surface area and volume of a sphere.
Given: .
Surface Area () =
Volume () =Calculate the surface area.
Using :
Calculate the volume.
Using :
The surface area is and the volume is .
2. The diameter of an iron ball is 6 cm. Find its surface area and volume (use ).
Identify the given diameter and calculate the radius.
Given: .
Radius .
Use .Calculate the surface area.
Calculate the volume.
The surface area is and the volume is .
3. Find the formula for the surface area and volume of a sphere in terms of its diameter .
Relate the radius () to the diameter ().
Substitute into the surface area formula ().
The formula for surface area in terms of diameter is
\boxed{\text{SA = \pi d^2}}.Substitute into the volume formula ().
The formula for volume in terms of diameter is
\boxed{\text{V = \frac{1}{6}\pi d^3}}.
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