CBSE Questions for Class 9 Maths Surface Areas And Volumes Quiz 3 - MCQExams.com

Given a sphere with the radius $$7\ cm$$. Find the volume of this sphere. Take $$\pi$$ as $$3.14$$.
  • $$1436.03 \ cm^3$$
  • $$87.92 \ cm^3$$
  • $$1345.01 \ cm^3$$
  • $$100.02 \ cm^3$$
Calculate the surface area of a sphere with radius $$3.2 cm$$.
  • $$110.65 \ cm^2$$
  • $$128.61 \ cm^2$$
  • $$131.54 \ cm^2$$
  • None of these
What is the total surface area of hemisphere?
  • $$4\pi r^{2}$$
  • $$3\pi r^{2}$$
  • $$\dfrac {2}{3}\pi r^{2}$$
  • $$\dfrac {4}{3}\pi r^{2}$$
State whether the statement are true (T) or false (F)
Two cylinders with equal volume will always have equal surface areas.
  • True
  • False
The curved surface area of a solid hemisphere of radius r is
  • $$4 \pi r^2$$
  • $$2 \pi r^2$$
  • $$4/3 \pi r^3$$
  • $$3 \pi r^2$$
The surface area of a solid hemisphere with radius $$r$$ is
  • $$4\pi r^2$$
  • $$2\pi r^2 $$
  • $$3\pi r^2 $$
  • $$\cfrac{2}{3} \pi r^3$$
The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into it. The ratios of the surface areas of the balloon in the two cases is
  • 1 : 4
  • 1 : 3
  • 2 : 3
  • 2 : 1
The radius of a sphere is $$2r$$, then its volume will be:
  • $$\dfrac{4}{3} \pi r^{3}$$
  • $$4 \pi r^{3}$$
  • $$\dfrac{8 \pi r^{3}}{3}$$
  • $$\dfrac{32}{3} \pi r^{3}$$
The amount of water displaced by a solid spherical ball of diameter $$4.2$$ cm, when it is completely immersed in water, is
  • $$45.808$$ cm$$^3 $$
  • $$38.808$$ cm$$^3 $$
  • $$14.808$$ cm$$^3 $$
  • $$58.808$$ cm$$^3 $$
The water for a factory is stored in a hemispherical tank whose internal diameter is $$14\ m$$. The tank contains $$50$$ kilo litres of water. Water is pumped into the tank to fill to its capacity. Calculate the volume of water pumped into the tank.
  • $$568.67\ m^3$$
  • $$668.67\ m^3$$
  • $$648.67\ m^3$$
  • $$688.67\ m^3$$
If two solid hemispheres of same base radius r are joined together along their bases, then curved surface area of this new solid is
  • $$4\pi r^{2}$$
  • $$6\pi r^{2}$$
  • $$3\pi r^{2}$$
  • $$8\pi r^{2}$$
In a cylinder, radius is doubled and height is halved, curved surface area will
  • halved
  • doubled
  • same
  • four times
The number of dimensions, a solid has :
  • 1
  • 2
  • 3
  • 0
If the surface area of a sphere is $$144 \pi \ cm^{2}$$, then its radius is:
  • $$6 cm$$
  • $$8 cm$$
  • $$12 cm$$
  • $$10 cm$$
The curved surface area of a hemisphere is $$77 cm^2$$. The radius of the hemisphere is :
  • $$3.5 cm$$
  • $$7cm$$
  • $$10.5cm$$
  • $$11cm$$
Area of the base of a solid hemisphere is 36$$\pi\  cm^2$$. Then its volume is :
  • $$288\pi \ cm^{3}$$
  • $$108\pi \ cm^{3}$$
  • $$144\pi\  cm^{3}$$
  • $$72\pi \ cm^{3}$$
Given dimensions of a cuboid as $$ l = 3\ cm, b = 2\ cm$$ and $$h = 1\ cm.$$ Find the volume.
  • $$12\ cm^3$$
  • $$6\ cm^3$$
  • $$4\ cm^3$$
  • $$3\ cm^3$$
The volume of a sphere of radius $$r$$ is:
  • $$\dfrac{4}{3}\pi r^{3}$$
  • $$2\pi r^{2}$$
  • $$\dfrac{2}{3}\pi r^{3}$$
  • $$4\pi r^{2}$$
The ratio of the height of a  circular cylinder to the  diameter of its base is $$1 : 2$$,  then the ratio of the areas of  its curved surface to the sum  of the areas of its two ends is 
  • $$1 : 1$$
  • $$1 : 2$$
  • $$2 : 1$$
  • $$1 : 3$$
If the perimeter of one face of a cube is $$20\: cm$$, then its surface area is
  • $$120\: cm^2$$
  • $$150\: cm^2$$
  • $$125\: cm^2$$
  • $$400\: cm^2$$
If the curved surface of a  cylinder be doubled the area of  the ends, then the ratio of  its height and radius is
  • $$2 : 3$$
  • $$1 : 1$$
  • $$2 : 1$$
  • $$1 : 2$$
  • Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
  • Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
  • Assertion is correct but Reason is incorrect
  • Assertion is incorrect but Reason is correct
The number of balls of radius 1 cm that can be made from a solid sphere of radius 4 cm is
  • $$64$$
  • $$16$$
  • $$12$$
  • $$4$$
A sphere has the same curved surface as the total surface area of cylinder of  height 4 cm and diameter of base 8 cm. The radius of the sphere is
  • $$2\ cm$$
  • $$3 \ cm$$
  • $$4\ cm$$
  • $$6\ cm$$
If the diameter of the sphere is doubled, the surface area of the resultant sphere becomes $$x$$ times that of the original one. Then, $$x$$ would be:
  • $$2$$
  • $$3$$
  • $$4$$
  • $$8$$
If the volume and the surface area of a solid sphere are numerically equal, then its radius is ____
  • $$9$$ units
  • $$2$$ units
  • $$6$$ units
  • $$3$$ units
A tent is in the form of a right circular cylinder, surmounted by a cone. The diameter of the cylinder is $$24$$ m. The height of the cylindrical portion is $$11$$ m, while the vertex of the cone is $$16$$ m above the ground.
The curved surface area of the cylindrical portion is
  • $$(246 \pi)m^2$$
  • $$(264 \pi)m^2$$
  • $$(426 \pi)m^2$$
  • $$(462 \pi)m^2$$
A closed cylindrical tank, made of thin iron sheet, had diameter $$8.4$$ m and height $$5.4$$ m. How much metal sheet to the nearest $$\displaystyle m^{2},$$ is used in making this tank, if $$\displaystyle \frac{1}{15}$$ of the sheet actually used was wasted in making the tank ?
  • $$272$$ $$\displaystyle m^{2}$$
  • $$271$$ $$\displaystyle m^{2}$$
  • $$242$$ $$\displaystyle m^{2}$$
  • $$270$$ $$\displaystyle m^{2}$$
If the radius of the base of a cylinder is $$2$$ cm and its height $$7$$ cm, then its curved surface is
  • $$44 cm^2$$
  • $$22 cm^2$$
  • $$88 cm^2$$
  • $$56 cm^2$$
the height of the cylinder correct to one decimal place.
  • $$1.5$$ cm
  • $$1.1$$ cm
  • $$1.9$$ cm
  • $$1.6$$ cm
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