9514 1404 393
Answer:
LA = 20π square units
SA = 36π square units
V = 16π cubic units
Step-by-step explanation:
The value of the radius is needed before any area calculations can be done. It can be found from the Pythagorean theorem:
r² + 3² = 5²
r = √(25 -9) = 4
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The lateral area is given by the formula ...
LA = πrs . . . . . where r is the radius and s is the slant height
LA = π(4)(5)
LA = 20π square units
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The surface area is the sum of the lateral area and the base area. The latter is the area of a circle of radius 4.
SA = πr² + LA
SA = π(4²) +20π = 16π +20π
SA = 36π square units
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The volume is given by the formula ...
V = 1/3πr²h
V = 1/3π(4²)(3) = 16π
The volume is 16π cubic units.
