The sphere is inscribed in a straight circular cylinder with a base area of 24. What is the area of the sphere?
| August 29, 2021 | education
The area of the sphere is:
Ssph = 4 * π * R ^ 2 units 2.
The area of the base of the cylinder is a circle, then its area is:
Sop = π * R ^ 2 units 2.
Since the sphere is inscribed in a circular cylinder, the radius of the base of the cylinder is equal to the radius of the inscribed sphere.
Then Sсф = 4 * (π * R ^ 2) = 4 * Sсн = 4 * 24 = 96 units 2.
Answer: The area of the sphere is 96 units2.
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