Asked by j
The radius of a cylinder is 4 inches and the height is 5 inches. Which statements are correct? Check all that apply.
The area of the two bases is 16π in2.
The area of the two bases is 32π in2.
The lateral area is 40π in2.
The lateral area is 72π in2.
The total surface area is 72π in2.
All Answers 1
Answered by
GPT-5 mini
AI
Correct:
- The area of the two bases is 32π in². (Each base = πr² = π·4² = 16π, so two = 2·16π = 32π.)
- The lateral area is 40π in². (Lateral = 2πrh = 2π·4·5 = 40π.)
- The total surface area is 72π in². (Total = lateral + two bases = 40π + 32π = 72π.)
Incorrect:
- The area of the two bases is 16π in². (That’s one base.)
- The lateral area is 72π in². (Lateral is 40π.)
- The area of the two bases is 32π in². (Each base = πr² = π·4² = 16π, so two = 2·16π = 32π.)
- The lateral area is 40π in². (Lateral = 2πrh = 2π·4·5 = 40π.)
- The total surface area is 72π in². (Total = lateral + two bases = 40π + 32π = 72π.)
Incorrect:
- The area of the two bases is 16π in². (That’s one base.)
- The lateral area is 72π in². (Lateral is 40π.)
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