# Worksheet: Surface Areas of Spheres

In this worksheet, we will practice using the formula for the surface area of a sphere in terms of its radius or diameter to find the sphere's area, radius, or diameter.

**Q1: **

Find the surface area of the given sphere to the nearest tenth.

**Q2: **

What is the diameter of a sphere whose surface area is cm^{2}?

**Q4: **

Find the surface area of a sphere whose diameter is 12.6 cm. Use .

**Q5: **

Find, to the nearest tenth, the surface area of a sphere whose great circle has a circumference of ft.

**Q6: **

Find the surface area of a sphere to the nearest tenth if the area of the great circle is in^{2}.

**Q9: **

Find, to the nearest tenth, the curved surface area of a hemisphere, given that the area of the great circle is mm^{2}.

**Q10: **

Find, to the nearest tenth, the curved surface area of a hemisphere given that the circumference of its great circle is cm.

**Q11: **

A water feature can be modelled as a hemisphere with its base set onto a square patio. If the diameter of the hemisphere is 4 feet and the patio has a side of length 6 feet, what would the visible area of the patio be? Give your answer accurate to two decimal places.

**Q12: **

Find the surface area of a sphere to the nearest tenth if the area of the great circle is in^{2}.

**Q13: **

Find, to the nearest tenth, the surface area of a sphere whose great circle has a circumference of ft.

**Q14: **

Find the surface area of the given sphere to the nearest tenth.

**Q15: **

What is the diameter of a sphere whose surface area is cm^{2}?