The surface area of a lantern shaped like a sphere is 452.16 square inches. What is the approximate volume of the lantern? Use 3.14 for π. Round your answer to the nearest hundredth.
A.150.72 in.3
B.452.16 in.3
C904.32 in.3
D.5,425.92 in.3

Answers

Answer 1
I think the answer is C 904.32 in.3
Answer 2

The approximate volume of the lantern is, V = 904.32 in³

How can the surface area of this sphere can be expressed ?

The concept here is using the surface area formula which is

A = Area = (4 π r² )  

V= Volume =( 4/3 π r³)

Then , We get;

A / V = 3 / r

Also, r = √A / 4π

Then we can substitute the values as

π = 3.14

r = √452.16 / 4×3.14

r = √36

r = 6

Hence, We get;

V = 4/3 πr³

V = 4/3 × 3.14 × 6³

V = 904.32 in³

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[ image ]

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