CBSE Questions for Class 9 Maths Surface Areas And Volumes Quiz 5 - MCQExams.com

Find the volume of a hemisphere of radius $$7\;dm$$.
  • $$708.67\;dm^3$$
  • $$818.67\;dm^3$$
  • $$717.67\;dm^3$$
  • $$718.67\;dm^3$$
Diameter of a football is $$28\;cm$$. It is made up of small hexagones each of area $$112\;cm^2$$. Find the number of small hexagones used in football.
  • $$21$$
  • $$27$$
  • $$23$$
  • $$22$$
How many balls, each of radius $$1$$ cm, can be made from a solid sphere of lead of radius $$8$$ cm?
  • $$512$$
  • $$500$$
  • $$400$$
  • $$345$$
The capacity of a water tank that measures $$9$$ cm $$\times 3.5$$ cm $$\times 7.5$$ cm is
  • $$236.25$$ c$$m^3$$
  • $$189$$ $$cm^3$$
  • $$236.25$$ $$m^3$$
  • $$189$$ $$m^3$$
Diameter of a sphere is $$21$$ dm. Find its surface area.
  • $$1286\;dm^2$$
  • $$1376\;dm^2$$
  • $$1386\;dm^2$$
  • $$1380\;dm^2$$
The area of the curved surface of a sphere is $$5544\;m^2$$. Find the radius of the sphere.
  • $$12$$ m
  • $$20$$ m
  • $$22$$ m
  • $$21$$ m
A small indoor greenhouse (herbarium) is made entirely of glass panes (including base) held together with tape It is $$30\ cm$$ long, $$25\ cm$$ wide, and $$25\ cm$$ high The area of glass is:
  • $$5000\ cm^{2}$$
  • $$ 4800\ cm^{2}$$
  • $$4250\ cm^{2}$$
  • $$4500\ cm^{2}$$
Find the surface area of the following cubes with length of edge
$$4\;cm$$
$$3.2\;cm$$
  • $$96\;cm^2\;;\;61.44\;cm^2$$
  • $$90\;cm^2\;;\;61.44\;cm^2$$
  • $$96\;cm^2\;;\;60.44\;cm^2$$
  • $$92\;cm^2\;;\;61.44\;cm^2$$
A plastic box $$1.5$$ m long, $$1.25$$ m wide, and $$65$$ cm deep is to be made. It is to be opened at the top. Ignoring the thickness of the plastic, the cost of the sheet for covering it, if a sheet measuring $$1$$$$\displaystyle m^{2}$$ costs Rs. $$20$$ is:
  • Rs. $$100$$
  • Rs. $$109$$
  • Rs. $$115$$
  • Rs. $$110$$
The radius of the cylinder whose lateral surface area is $$704\, cm^2$$ and height $$8$$ cm is
  • $$6$$ cm
  • $$4$$ cm
  • $$8$$ cm
  • $$14$$ cm
Savitri had to make a model of a cylindrical kaleidoscope for her science project. She wanted to use chart paper to make the curved surface of the kaleidoscope. What would be the area of chart paper required by her, if she wanted to make a kaleidoscope of length $$25\space cm$$ with a $$3.5\space cm$$ radius? You may take $$\left (\pi = \dfrac{22}{7}\right )$$
  • $$540\space cm^2$$
  • $$520\space cm^2$$
  • $$550\space cm^2$$
  • $$560\space cm^2$$
Three solid spheres of copper, whose radii are $$3$$ cm, $$4$$ cm and $$5$$ cm respestively are melted into a single solid sphere of radius R. The value of R is
  • $$12$$ cm
  • $$8$$ cm
  • $$4$$ cm
  • $$6$$ cm
A right circular cylinder and a sphere are of equal volumes and their radii are also equal If h is the height of the cylinder and d is the diameter of the sphere then
  • $$\displaystyle \frac{h}{3}=\frac{d}{2} $$
  • $$\displaystyle \frac{h}{2}=\frac{d}{3} $$
  • $$2h = d$$
  • $$h = d$$
Find the difference between total surface area & curved surface area of a hemisphere of radius $$21\space cm$$.
  • $$1376\space cm^2$$
  • $$1386\space cm^2$$
  • $$1396\space cm^2$$
  • $$1404\space cm^2$$
Three solid spheres of a lead are melted into a single solid sphere If the radii of the three spheres be 1 cm, 6 cm and 8 cm respectively Then radius of the new sphere is :
  • $$2 cm$$
  • $$3 cm$$
  • $$5 cm$$
  • $$9 cm$$
The diameter of the base of a right circular cylinder is $$28$$ cm and its height is $$21$$ cm Curved surface area of the cylinder is
  • $$1540$$ $$\displaystyle cm^{2}$$
  • $$1648$$ $$\displaystyle cm^{2}$$
  • $$1848$$ $$\displaystyle cm^{2}$$
  • $$1548$$ $$\displaystyle cm^{2}$$
If the radius of the base of a cylinder is $$2$$ cm and its height $$7$$ cm, then what is its curved surface area?
  • $$44\:cm^2$$
  • $$22\:cm^2$$
  • $$88\:cm^2$$
  • $$56\:cm^2$$
The hollow sphere, in which the circus motorcyclist performs his stunts, has diameter of $$7\ m$$. Find the area available to motorcyclist for riding.
  • $$154\ m^2$$
  • $$144\ m^2$$
  • $$38.5\ m^2$$
  • $$176\ m^2$$
Find the volume of a hemisphere of radius $$6.3 \ cm$$ ($$\displaystyle \pi =22/7$$)
  • $$523.9 \ \displaystyle cm^{3}$$
  • $$520.91 \ \displaystyle cm^{3}$$
  • $$512.91 \ \displaystyle cm^{3}$$
  • $$510.91 \ \displaystyle cm^{3}$$
The diameter of a garden roller is $$1.4\space m$$ and it is $$2\space m$$ long. How much area will it cover in $$5$$ revolutions? (Use $$\pi = \dfrac{22}{7}$$)
  • $$40\space m^2$$
  • $$41.40\space m^2$$
  • $$44\space m^2$$
  • $$42.40\space m^2$$
If volume and surface area of a sphere are numerically equal then it's radius is
  • $$2\ units$$
  • $$3\ units$$
  • $$5\ units$$
  • $$8\ units$$
The volume of a solid hemisphere of radius$$ 2\ cm$$ is ......
  • $$\displaystyle \frac{352}{21}\ cm^{3}$$
  • $$\displaystyle 576\ cm^{3}$$
  • $$\displaystyle \frac{376}{9}\ cm^{3}$$
  • $$\displaystyle 600\ cm^{3}$$
The surface area of a sphere is $$\displaystyle 5544cm^{2}$$. Its volume is
  • $$\displaystyle 38793cm^{3}$$
  • $$\displaystyle 24676cm^{3}$$
  • $$\displaystyle 30088cm^{3}$$
  • $$\displaystyle 83800cm^{3}$$
The surface areas of the two spheres are in the ratio $$1:2$$. The ratio of their volumes is 
  • $$1:2$$
  • $$\displaystyle 1:\sqrt{2}$$
  • $$\displaystyle 1:2\sqrt{2}$$
  • $$\displaystyle 1:3\sqrt{2}$$
A sphere of diameter $$10$$ cm weighs $$44$$ kg. The weight of a sphere of the same material whose diameter is $$6$$ cm is
  • $$2.64$$ kg
  • $$1.584$$ kg
  • $$0.9504$$ kg
  • $$\displaystyle\frac{4}{3}(0.9504)\:kg$$
The dimensions of a hall are 40 m, 25 m and 20 m. If each person requires 200 cubic m, then the number of persons who can be accommodated in the hall are
  • 150
  • 140
  • 120
  • 100
How many spherical bullets can be made out of a solid cube of lead whose edge measures 44 cm if each bullet has radius 2 cm?
  • 3000
  • 2541
  • 1779
  • 2332
A solid metal sphere is cut through the center into two equal parts. Find the total surface area of each part if the radius of the sphere is $$3.5 cm$$.
  • $$\displaystyle 115.5cm^{2}$$
  • $$\displaystyle 151.5cm^{2}$$
  • $$\displaystyle 155cm^{2}$$
  • $$\displaystyle 151cm^{2}$$
The radii of two spheres are in the ratio 3:5 The ratio of their volumes is
  • $$9:25$$
  • $$27:125$$
  • $$\displaystyle \sqrt{3}:\sqrt{5}$$
  • $$\displaystyle \sqrt[3]{3}:\sqrt[3]{5}$$
Find the volume of this rectangular prism (cuboid). $$($$Given: $$L = 2$$ cm, $$B = 10$$ cm, $$H = 30$$ cm$$)$$
  • $$\displaystyle 600\ { cm }^{ 3 }$$
  • $$\displaystyle 760\ { cm }^{ 3 }$$
  • $$\displaystyle 42\ { cm }^{ 3 }$$
  • $$\displaystyle 500\  { cm }^{ 3 }$$
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