Q. A cone has a base radius of 4 cm and a height of 9 cm. What is its surface area?
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A.
50.24 cm²
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B.
75.36 cm²
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C.
100.48 cm²
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D.
25.12 cm²
Solution
Surface area of a cone = πr(r + l), where l = √(r² + h²) = √(4² + 9²) = √(16 + 81) = √97. Thus, SA = π * 4 * (4 + √97) ≈ 75.36 cm².
Correct Answer:
B
— 75.36 cm²
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Q. A cylinder has a height of 10 cm and a volume of 200 cm³. What is the radius?
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A.
3.18 cm
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B.
3.5 cm
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C.
4 cm
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D.
5 cm
Solution
Volume = πr²h, thus r² = Volume / (πh) = 200 / (π * 10) = 20/π. Therefore, r ≈ 3.5 cm.
Correct Answer:
B
— 3.5 cm
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Q. Calculate the volume of a cube with a side length of 10 cm.
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A.
100 cm³
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B.
500 cm³
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C.
1000 cm³
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D.
2000 cm³
Solution
Volume of a cube = (side length)³ = (10)³ = 1000 cm³.
Correct Answer:
C
— 1000 cm³
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Q. Find the total surface area of a cylinder with a radius of 2 cm and a height of 5 cm.
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A.
28π cm²
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B.
20π cm²
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C.
30π cm²
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D.
40π cm²
Solution
Total surface area = 2πr(h + r) = 2π(2)(5 + 2) = 28π cm².
Correct Answer:
A
— 28π cm²
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Q. What is the surface area of a hemisphere with a radius of 5 cm?
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A.
78.5 cm²
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B.
100 cm²
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C.
125 cm²
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D.
150 cm²
Solution
Surface area of a hemisphere = 2πr² + πr² = 3πr² = 3π(5)² = 75π cm² ≈ 235.62 cm².
Correct Answer:
A
— 78.5 cm²
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Q. What is the volume of a rectangular prism with dimensions 2 cm, 3 cm, and 4 cm?
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A.
12 cm³
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B.
24 cm³
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C.
6 cm³
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D.
8 cm³
Solution
Volume = length * width * height = 2 * 3 * 4 = 24 cm³.
Correct Answer:
A
— 12 cm³
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Q. What is the volume of a sphere with a radius of 6 cm?
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A.
144π cm³
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B.
216π cm³
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C.
288π cm³
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D.
72π cm³
Solution
Volume of a sphere = (4/3)πr³ = (4/3)π(6)³ = (4/3)π(216) = 288π cm³.
Correct Answer:
B
— 216π cm³
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