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CBSE Questions for Class 9 Maths Surface Areas And Volumes Quiz 12 - MCQExams.com

A spherical iron ball 10cm in radius is coated with a layer of ice of uniform thickness that melts at a rate of 50cm3/min, when the thickness of ice is 5cm, then the rate at which the thickness of ice decreases is:
  • 12πcm/min
  • 118πcm/min
  • 154πcm/min
  • 56πcm/min
If the diameter of a sphere is 'd' then its volume is:
  • 13πd3
  • 12πd3
  • 43πd3
  • 16πd3
The diagram shows the net of a right cylinder. Find the volume of the cylinder, in cm3
520226.jpg
  • 20π
  • 50π
  • 25π
  • 40π
Find the ratio of the volume of sphere A to sphere B, if the ratio of the surface area of sphere A to the surface area of sphere B is 729:1
  • 27:1
  • 81:1
  • 19,683:1
  • 26,224:1
  • 531,441:1
Sixteen cylindrical cans, each with a radius of 1 unit, are placed inside a cardboard box four in a row. If the cans touch the adjacent cans and or the walls of the box, then which of the following could be the interior area of the bottom of the box is square units?
  • 16
  • 32
  • 64
  • 128
A spherical iron ball of volume 720cm3 is immersed in a half-filled tank as shown in the figure.
Find the rise in the water level.
86366.jpg
  • 3 cm
  • 312cm
  • 434cm
  • 6

    cm
The curved surface of a hemisphere whose internal & external radii are a and b respectively, will be 
  • π(a2+b2)
  • 2π(a2+b2)
  • 2π(a2b2)
  • 2π(b2+a2)
Find the diameter of a sphere whose volume is 11317 cubic metres.
  • 3m
  • 5m
  • 6m
  • 8m
  • 4m
How many litres of water (approximately) can a hemispherical container of radius 21cm hold?
  • 19.4
  • 38.8
  • 194
  • 388
12 litres of water are poured into an aquarium of dimensions 50cm length, 30cm breadth, and 40cm height. How high (in cm) will the water rise?(1 litre=1000cm3)
  • 6
  • 8
  • 10
  • 20
  • 40
The weight of a sphere of iron of radius 8cm is 1.2kg. What is the weight of a similar sphere whose radius is 4cm?
  • 600 grams
  • 400 grams
  • 150 grams
  • 250 grams
When the radius of a sphere decreases from 3 cm to 2.98 cm then the approximately decrease in volume of sphere is
  • 0.002π cm3
  • 0.072π cm3
  • 0.72π cm3
  • 0.008π cm3
Three solid metallic spheres of radii 6, 8 and 10 centimetres are melted to form a single solid sphere. The radius of the sphere so formed is __________.
  • 24cm
  • 16cm
  • 18cm
  • 12cm
The largest sphere is cut off from a cube of side 5cm. The volume of the sphere will be_

  • 27πcm3
  • 30πcm3
  • 108πcm3
  • 1256πcm3
The volume of a sphere is 36cm2. Then is diameter is ___ cm. 
  • 6
  • 12
  • 3
  • 9
If the surface area of a sphere is 144π m2, then its volume is 
  • 288π m3
  • 316π m3
  • 300π m3
  • 188π m3
Area of Sphere varies with the square of radius. Given that the area of sphere is 216sq units, when the radius is 6 units, find the area of sphere when the radius is 5 units.
  • 180sq units
  • 240squnits
  • 210sq units
  • 150sq units
A water tank has a capacity of 10,000 litre. Its value in m3 is
  • 10m3
  • 1000m3
  • 1m3
  • none
A right circular cylinder just encloses a sphere of radius r. Find the ratio of the surface areas of the sphere and the cylinder.


1423125_0069120026224423950f925a07143b59.png
  • 23
  • 13
  • 32
  • 45
A dome of a building is in the form of a hemisphere from inside, it was whitewashed at the cost of Rs 498.96. If the cost of white-washing is 498.96RS 2.00 per square meter, find 
  • Inside surface area of the dome
  • Volume of the air inside the dome
  • 249.98 m2 and 523.9 m3
  • 248.8 m2 and 523.9 m3
  • 249 m2 and 523.9 m3
  • 249.48 m2 and 523.9 m3
How many lead balls each of radius 4 cm can be made by melting a lead sphered of diameter 40 cm?
  • 1000
  • 500
  • 250
  • 125
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