Quantitative Aptitude
Mensuration
2,507 Questions
Mensuration Questions
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$\displaystyle 4019.2{ cm }^{ 3 }$
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$\displaystyle 4019.2cm$
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$\displaystyle 4019.2{ cm }^{ 2 }$
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$\displaystyle 4018.6{ cm }^{ 2 }$
C
Correct answer
Explanation
Surface area of a cylinder = 2 * pi * r * (r + h) = 2 * 3.14 * 20 * (20 + 12) = 125.6 * 32 = 4019.2 cm^2.
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$\displaystyle 88{ ft }^{ 2 }$
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$\displaystyle 198{ ft }^{ 2 }$
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$\displaystyle 79{ ft }^{ 2 }$
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$\displaystyle 176{ ft }^{ 2 }$
D
Correct answer
Explanation
Volume = pi * r^2 * h = 616. (22/7) * r^2 * 4 = 616. r^2 = 616 * 7 / 88 = 49. r = 7. Curved surface area = 2 * pi * r * h = 2 * (22/7) * 7 * 4 = 176 sq ft.
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$\displaystyle 23936{\ ft }^{ 3 }$
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$\displaystyle 23936{\ ft }^{ 2 }$
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$\displaystyle 23950{ \ ft }^{ 2 }$
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$\displaystyle 23936\ ft$
B
Correct answer
Explanation
The surface area of a cylinder is 2 * pi * r * h + 2 * pi * r^2. Given h = 12 and r = 56, the area is 2 * pi * 56 * 12 + 2 * pi * 56^2. This equals 1344 * pi + 6272 * pi = 7616 * pi. Using pi approx 3.14159, 7616 * 3.14159 is approx 23926. The option 23936 is the closest value.
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$\displaystyle 880{ \ m }^{ 3 }$
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$\displaystyle 880{\ m }^{ 2 }$
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$\displaystyle 88{ \ m }^{ 2 }$
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$\displaystyle 880{\ mm }^{ 2 }$
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$7.96$ m
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$7.96$ cm
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$\displaystyle 7.96{ cm }^{ 2 }$
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$\displaystyle 9.61{ m }^{ 2 }$
B
Correct answer
Explanation
The lateral surface area of a cylinder is 2πrh. Substituting 500 = 2 × 3.14 × r × 10 gives r approximately 7.96 cm.
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$\displaystyle 140.5{ m }^{ 2 }$
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$\displaystyle 422.02{ m }^{ 2 }$
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$\displaystyle 150.2{ m }^{ 2 }$
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$\displaystyle 142.8{ m }^{ 3 }$
B
Correct answer
Explanation
Volume V = pi * r^2 * h = 400. With r=7, 400 = pi * 49 * h, so h = 400 / (49 * pi) approx 2.598. Total surface area = 2 * pi * r * (r + h) = 2 * pi * 7 * (7 + 2.598) approx 422.02.
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$\displaystyle 2 $ ${ mm }$
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$\displaystyle 3 $ ${ mm }$
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$\displaystyle 4 $ ${ mm }$
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$\displaystyle 5 $ ${ mm }$
B
Correct answer
Explanation
Surface area of a cylinder = 2 * pi * r * (r + h). 132 = 2 * (22/7) * r * (r + 4). 132 * 7 / 44 = r(r+4) => 21 = r^2 + 4r => r^2 + 4r - 21 = 0. (r+7)(r-3) = 0. Since radius must be positive, r = 3.
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$\displaystyle 82\pi { ft }^{ 2 }$
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$\displaystyle 78\pi { ft }^{ 2 }$
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$\displaystyle 48\pi { ft }^{ 2 }$
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$\displaystyle 81\pi { ft }^{ 2 }$
C
Correct answer
Explanation
The surface area of a cylinder is calculated using the formula 2*pi*r*(r + h). Substituting the given values, 2*pi*2*(2 + 10) = 4*pi*12 = 48*pi.
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$10$ in
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$9.65$ in
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$9$ in
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$9.5$ in
B
Correct answer
Explanation
The surface area of a cylinder is 2 * pi * r * (r + h) = 590. Given r = 6 and pi = 3.14, we have 2 * 3.14 * 6 * (6 + h) = 590. This simplifies to 37.68 * (6 + h) = 590, so 6 + h = 15.658, and h = 9.658.
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$\displaystyle 203.5{ in }^{ 2 }$
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$\displaystyle 207.3{ in }^{ 2 }$
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$\displaystyle 215.7{ in }^{ 2 }$
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$\displaystyle 218.13$
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$\displaystyle 2{ cm }$
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$\displaystyle 2.5cm$
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$\displaystyle 2m$
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$\displaystyle 2.5m$
D
Correct answer
Explanation
Curved surface area of cylinder = 2 * pi * r * h = 188.4. Given h = 12 and pi = 3.14: 2 * 3.14 * r * 12 = 188.4. 75.36 * r = 188.4. r = 188.4 / 75.36 = 2.5m.
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$\displaystyle 141.21{ m }^{ 2 },2m$
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$\displaystyle 143.44{ m }^{ 2 },8m$
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$\displaystyle 143.23{ m }^{ 2 },7m$
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$\displaystyle 104.23{ m }^{ 2 },6m$
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$\displaystyle 36.92{ mm }^{ 3 }$
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$\displaystyle 36.72{ mm }^{ 3 }$
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$\displaystyle 36.926{ mm }^{ 3 }$
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$\displaystyle 36.9264{ mm }^{ 3 }$
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$\displaystyle 110.126{ cm }^{ 2 }$
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$\displaystyle 110.916{ cm }^{ 2 }$
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$\displaystyle 348.27{ cm }^{ 3 }$
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$\displaystyle 345.425{ cm }^{ 2 }$
C
Correct answer
Explanation
The height is 11 cm because it is twice the radius. The volume is 1/3 times pi times 5.5^2 times 11, approximately 348.27 cm^3, so option C has the correct numerical value, although its unit should be cm^3 rather than cm^2.
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$32 {cm}^3,10.6$ m
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$32 {cm}^3,9.6$ m
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$32 {cm}^3,8.6$ m
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$32 {cm}^3,7.6$ m