Volume and Surface Area Practice Question and Answer
8 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 -
777 0609a6719f738a51c29ae2b02
609a6719f738a51c29ae2b02- 17 cm.true
- 217 cm.false
- 39 cm.false
- 423 cm.false
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Answer : 1. "7 cm. "
Q: How much parts of the pits, which are 48 meters long, 16.5 meters wide and 4 meters deep, can be filled in the soil, which is obtained by cylindrical tunnel of 4 meters diameter and 56 meters long?
775 05f4df6cd82369c1d6113def5
5f4df6cd82369c1d6113def5- 1$$ {1\over 9}$$false
- 2$$ {2\over 9}$$true
- 3$$ {7\over 9}$$false
- 4$$ {8\over 9}$$false
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Answer : 2. "$$ {2\over 9}$$"
Q: Base of a right pyramid is a square. The length of diagonal of the base is $$ {12\sqrt{2}}$$ cm. If each lateral surface of the pyramid is an equilateral triangle, then its volume (in cu.cm) is
774 060055250f5c84e7440611306
60055250f5c84e7440611306- 1$$ {288\sqrt{3}}$$true
- 2$$ {208\sqrt{2}}$$false
- 3$$ {288\sqrt{2}}$$false
- 4288false
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Answer : 1. "$$ {288\sqrt{3}}$$"
Q: The volume of a solid right circular cone is 600 π cm3, and the diameter of its base is 30 cm. The total surface area (in cm2) of the cone is:
773 05fc0dcbe96415e6951a97db2
5fc0dcbe96415e6951a97db2- 1480 πtrue
- 2255 πfalse
- 3472 πfalse
- 4496 πfalse
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Answer : 1. "480 π"
Q: What is the area of an equilateral triangle having altitude equal to $$5\sqrt{3}$$cm.
772 05ef052c87cd71c794469687d
5ef052c87cd71c794469687d- 1$$25\sqrt{3}$$true
- 2$$45\sqrt{3}$$false
- 345false
- 440false
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Answer : 1. "$$25\sqrt{3}$$"
Q: 42 cm a circular wire of diameter is folded into a rectangle whose sides are in the ratio 6: 5. What will be the area of the rectangle?
770 05f76b9f853f6013e85bed71d
5f76b9f853f6013e85bed71d- 1900 sq. cm.false
- 21080 sq. cm.true
- 31000 sq cmfalse
- 44320 sq. cm.false
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Answer : 2. "1080 sq. cm."
Q: From a circle of radius a, a sector, which subtend an angle π/5 at the centre has been cut off. The perimeter of the remaining part of the circle is
766 05f8016aa0a69ab3becc7d2bf
5f8016aa0a69ab3becc7d2bf- 12πafalse
- 2$$ {π\over 5}{a}$$false
- 3$$ {7π\over 5}{a}$$false
- 4$$ {9π\over 5}{a}$$true
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Answer : 4. "$$ {9π\over 5}{a}$$"
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-
764 0602259f2ad295556282a1862
602259f2ad295556282a1862- 125 cmfalse
- 220 cmfalse
- 324 cmtrue
- 422 cmfalse
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