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What numbers must you know to find the surface area and volume of a sphere?

A) The sphere's radius and the circumference and area of a great circle

B) The sphere's radius and the circumference of a great circle

C) The sphere's radius

D)The sphere's radius and the area of a great circle

User Kenn Sebesta
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2 Answers

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20 votes

Final answer:

To calculate the surface area and volume of a sphere, the only number you need to know is the sphere's radius. Formulas for volume and surface area are 4/3 π r³ and 4 π r², respectively.

Step-by-step explanation:

To find the surface area and volume of a sphere, you must know the sphere's radius (r). The formula for the volume of a sphere is V = 4/3 π r³, which tells you that the expression 4³/3 is related to the volume. On the other hand, the formula for the surface area of a sphere is A = 4 π r². You do not need to know the circumference or the area of a great circle, as these can be derived from knowing the radius. Furthermore, when comparing cells or other objects in terms of surface area and volume, the surface area-to-volume ratio is critical, particularly in fields such as biology, where cell sizes are discussed.

User Andrew Quebe
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22 votes
22 votes

Answer: c) sphere's radius

Step-by-step explanation:

formula for volume of sphere =
(4)/(3) \pi r^(3)

formula for surface area of sphere = 4πr²

we need to know the radius of sphere to find both

User Erik Ahlswede
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