Volume & Surface Area Questions and Answers

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Q51
A sphere of radius 6.3 cm is melted and cast into a right circular cone of height 25.2 cm. The radius of the base of the cone is :
  • A 4.2 cm
  • B 1.4 cm
  • C 3.5 cm
  • D 6.3 cm
Answer: Option A
Q52
If the height and diameter of a right circular cylinder are 32 cm and 6 to the volume of the cylinder is :
  • A 3 cm
  • B 4 cm
  • C 6 cm
  • D None
Answer: Option C
Q53
A hemisphere of lead of radius 6 cm is cast into a right circular cone of height  75 cm. The radius of the base of the cone is :
  • A 1.4 cm
  • B 2 cm
  • C 2.4 cm
  • D 4.2 cm
Answer: Option C
Q54
The diameter and the slant height of a conical tomb are 28 m and 50 m respectively. The cost of whitewashing its curved surface at the rate of 80 paise per square metre is :
  • A Rs, 2640
  • B Rs. 1760
  • C Rs. 264
  • D Rs. 176
Answer: Option B
Q55
The height and the radius of the base of a cone are each increased by 100%. The volume of the new cone becomes how many times of the volume of the original cone ?
  • A 8 times
  • B 6 times
  • C 4 times
  • D 3 times
Answer: Option A
Q56
A right cylinder and a righ circular cone have the same radius and the same volume. The ratio of the height f the cylinder to that of the cone is :
  • A 3 : 5
  • B 2 : 5
  • C 3 : 1
  • D 1 : 3
Answer: Option D
Q57
A right cylindrical vessel is full of water. How many right cones having the same radius and heights as those of the right cylinder will be needed to store that water ?
  • A 2
  • B 3
  • C 4
  • D 8
Answer: Option B
Q58
A cylindrical piece of metal of radius 2 cm and height 6 cm is shaped into a cone of same radius. The height of the cone is :
  • A 8 cm
  • B 12 cm
  • C 14 cm
  • D 18 cm
Answer: Option D
Q59
The  length of canvas 1.1 m wider required to build a coical tent of height 14 m and the floor area 346.5 sq.m is :
  • A 525 m
  • B 490 m
  • C 665 m
  • D 860 m
Answer: Option A
Q60
How many metres of cloth 2.5 m wide will be required to make a conical tent whose base radius is 7 m and height is 24 m ?
  • A 120 m
  • B 180 m
  • C 220 m
  • D 550 m
Answer: Option C
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