Volume and Surface Area Questions Practice Question and Answer
8 Q: The lengths of the parallel sides of a trapezium are 51 cm and 21 cm, and that of each of the other two sides is 39 cm. what is the area ( in cm2) of the trapezium?
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605324a74999e13f2a6d1e1b- 11206false
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Answer : 4. "1296"
Q: A conical vessel whose internal base radius is 18 cm and height 60 cm is full of a liquid. The entire liquid of the vessel is emptied into a cylindrical vessel with internal radius 15 cm. The height (in cm) to which the liquid rises in the cylindrical vessel is:
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6053169aa37d522d6c196037- 130.2 cmfalse
- 228.8 cmtrue
- 327 cmfalse
- 424 cmfalse
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Answer : 2. "28.8 cm"
Q: The volume of a solid right circular cylinder is 5236 cm3, and its height is 34 cm. What is its curved surface area (in cm2)?
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Answer : 1. "1496"
Q: A right circular cone of largest volume is cut out from a solid wooden hemisphere. The remaining material is what percentage of the volume of the original hemisphere?
400 06051c634a01bc44789a9b503
6051c634a01bc44789a9b503- 150 %true
- 2$$ {33{1\over3}}{ \%}$$false
- 375 %false
- 4$$ {66{2\over3}}{ \%}$$false
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Answer : 1. "50 %"
Q: The length of a rectangle is 6 cm more than its width and its perimeter is 100 cm. If the area of this rectangle is closest to the area of a circle, then what is the circumference of that circle?
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602e05409f2a38430909bb32- 1110 cmfalse
- 2132 cmfalse
- 366 cmfalse
- 488 cmtrue
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Answer : 4. "88 cm"
Q: A conical vessel whose internal radius is 12 cm and height 50 cm. is full of liquid. The contents are emptied into a cylindrical vessel with radius (internal) 10 cm. The height to which the liquid rises in the cylindrical vessel is-
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602259f2ad295556282a1862- 125 cmfalse
- 220 cmfalse
- 324 cmtrue
- 422 cmfalse
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Answer : 3. "24 cm"
Q: A semicircle is folded to make a cone. Find the height (in cm) of the cone if diameter of the semicircle is 28 cm?
492 0601a4f64552e5f41f7b07047
601a4f64552e5f41f7b07047- 1$$ {7\sqrt{3}}$$true
- 2$$ {14\sqrt{3}}$$false
- 3$$ {7\sqrt{5}}$$false
- 4$$ {7\sqrt{13}}$$false
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Answer : 1. "$$ {7\sqrt{3}}$$"
Q: In a circle, difference between the circumference and radius is 37 cm. Find the area (in cm²) of the circle?
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