Volume and Surface Area 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 :
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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: 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
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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: 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 -
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609a6719f738a51c29ae2b02- 17 cm.true
- 217 cm.false
- 39 cm.false
- 423 cm.false
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Answer : 1. "7 cm. "
Q: What is total surface area of a cone where, r’ is radius and ‘l’ is slant height?
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5eccef537bb74b48ff93a881- 1πr (l + r)true
- 22πr (l+r)false
- 3πrlfalse
- 4$$ 2πrl^2$$false
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Answer : 1. "πr (l + r) "
Q: If the perimeter of a triangle is 30 cm and the area is 30 square cm, if the length of the larger side is 13 cm, then what is the length of the shorter side?
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5f801aa64e4f797ddbd81c04- 14 cmfalse
- 26 cmfalse
- 35 cmtrue
- 410 cmfalse
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Answer : 3. "5 cm"
Q: In the figure given below, AD bisects ∠BAC. If the area of ΔABD=40 cm2 and AC=3AB, then the area of ΔABC:
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5f59ce72b772fe2f8b222a04- 1$$ {150 \ cm^{2}}$$false
- 2$$ {100 \ cm^{2}}$$false
- 3$$ {120 \ cm^{2}}$$true
- 4$$ {160 \ cm^{2}}$$false
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Answer : 3. "$$ {120 \ cm^{2}}$$"
Q: A rectangular grass plot 80 m × 60 m has two roads, each 10 m wide, running in the middle of it; one parallel to length and the other parallel to breadth. Find the cost of gravelling the roads at ₹ 2 per m2.
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600e8d83178b94051cdf9081- 1₹ 2600true
- 2₹ 2680false
- 3₹ 2580false
- 4₹ 2500false
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Answer : 1. "₹ 2600 "
Q: Two cones have their heights in the ratio 1:3 and the radii of their bases in the ratio 3:1. Find the ratio of their volumes?
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5ecf3a9b79d67a247e487706- 13:1true
- 22:1false
- 34:1false
- 45:1false
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