Volume and Surface Area Questions Practice Question and Answer
8 Q: A right triangle with sides 5 cm, 12 cm and 13 cm is rotated about the side 12 cm to from a cone. The volume of the cone so formed is :
1552 060c08c42e3298a2dec40d26d
60c08c42e3298a2dec40d26d- 1$$ {81 π \ cm^{3}}$$false
- 2$$ {100 π \ cm^{3}}$$true
- 3$$ {91 π \ cm^{3}}$$false
- 4$$ {110 π \ cm^{3}}$$false
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Answer : 2. "$$ {100 π \ cm^{3}}$$"
Q: 50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is $$ {4 m^{3}}$$ , then the rise in the water level in the tank will be:
1544 05ffc324723210f22f330326c
5ffc324723210f22f330326c- 120 cmfalse
- 250 cmfalse
- 335 cmfalse
- 425 cmtrue
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Answer : 4. "25 cm"
Q: The perimeter of a rectangle and equilateral triangle is equal. One side of the rectangle is also equal to the side of the triangle. Find the ratio of the areas of the rectangle and triangle?
1543 05f4df4075e74bc4ee553f5cd
5f4df4075e74bc4ee553f5cd- 1$$ {\sqrt{3}:1}$$false
- 2$$ {1 : \sqrt{3}}$$false
- 3$$ {2 : \sqrt{3}}$$true
- 4$$ {4 : \sqrt{3}}$$false
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Answer : 3. "$$ {2 : \sqrt{3}}$$"
Q: The curved surface area of a right circular cylinder of radius 2 cm is 264 cm2. The height of the cylinder, in cm, is
1540 0600552117a0c6e1017db924e
600552117a0c6e1017db924e- 142false
- 214false
- 310.5false
- 421true
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Answer : 4. "21"
Q: What is total surface area of a cone where, r’ is radius and ‘l’ is slant height?
1527 05eccef537bb74b48ff93a881
5eccef537bb74b48ff93a881- 1πr (l + r)true
- 22πr (l+r)false
- 3πrlfalse
- 4$$ 2πrl^2$$false
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Answer : 1. "πr (l + r) "
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?
1526 0605324a74999e13f2a6d1e1b
605324a74999e13f2a6d1e1b- 11206false
- 21152false
- 31260false
- 41296true
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Answer : 4. "1296"
Q: In a circle of radius 17 cm, two parallel chords of lengths 30 cm. and 16 cm are drawn. If both the chords are on the same side of the center, then the distance between the chords is -
1519 0609a6719f738a51c29ae2b02
609a6719f738a51c29ae2b02- 17 cm.true
- 217 cm.false
- 39 cm.false
- 423 cm.false
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Answer : 1. "7 cm. "
Q: A corner of a cube of side length 8 m. When cut by a plane which bisects the sides of the cube, we get a pyramid whose volume is :
1512 1600a99fa7cf1e8512ed397f5
600a99fa7cf1e8512ed397f5- 18.37 m3false
- 210.67 m3true
- 311.20 m3false
- 49.68 m3false
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