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Lesson Worksheet: Surface Areas of Spheres Mathematics • 8th Grade

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:

Find the surface area of a sphere whose diameter is 12.6 cm. Use 𝜋=227.

Q3:

What is the diameter of a sphere whose surface area is 36𝜋 cm2?

Q4:

Find the radius of the sphere whose surface area is 50 cm2. Round your answer to two decimal places.

Q5:

Find, to the nearest tenth, the surface area of a sphere whose great circle has a circumference of 140𝜋 ft.

Q6:

Find the surface area of a sphere to the nearest tenth if the area of the great circle is 441𝜋 in2.

Q7:

Find the total surface area of the hemisphere. Round the answer to the nearest tenth.

Q8:

Find, to the nearest tenth, the curved surface area of a hemisphere given that the circumference of its great circle is 4𝜋 cm.

Q9:

Find the total surface of a quarter sphere of radius 2 cm. Round your answer to two decimal places.

Q10:

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.

This lesson includes 15 additional questions and 162 additional question variations for subscribers.

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