Q1.
Find the lateral surface area and the total surface area of a cuboids whose
dimensions are:
Q2.
The dimensions of a room are
. It has one door of dimensions
and two windows each of dimensions
washing the walls at
. Find the cost of white
.
Q3.
Find the lateral surface area and the total surface area of a cube of edge
Q4.
A roller is
long has a diameter of
.
. To level a play ground it takes
complete revolutions. Determine the cost of leveling the play ground at the rate of
.
Q5.
The diameter of a cylinder is
and its height is
. Find the curved surface
Q6.
area, total surface area and the volume of the cylinder.
The curved surface area of a coin is
and its diameter is
. What is its
aslant height?
Q7.
The circumference of the base of a cone is
Q8.
the volume and curved surface of the cone.
Find the total surface area of a hemisphere of radius
Q9.
Q10.
and its slant height is
. Find
.
If the radius of a balloon is doubled by pumping air into it, find the ratio of the two
surface areas.
A water tank in the form of a cuboid is
. Find the
capacity of the tank in liters if
.
Q11.
If the surface area of a cube is
Q12.
The diameters of two cones are equal. If their slant heights are in the ratio
Q13.
find the ratio of their curved surface area.
Circular plates, each of radius
and thickness
Q14.
other to form a solid right circular cylinder. Find the total surface area and volume
of the cylinder.
A powder tin has a square base with side
and height
. Another is
cylindrical with diameter of its base
, find the volume of the cube.
and height
,
are placed one above the
. Which has more
capacity and by how much?
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Q15.
Find the volume, curved surface area and the total surface area of a cone whose
height and the slant height are respectively
respectively.
Q16.
The radius and height of a right circular cone are in the ratio
. If its volume is
, find its slant height.
Q17.
The volume of a sphere is
. Find its radius and hence its surface area.
Q18.
The surface areas of two spheres are in the ratio
. Find the ratio of their
volumes.
Q19.
A solid metallic cylinder of base radius
cone of height
Q20.
A cone is
and base radius
and height
is melted to form a
. Find the number of cones formed.
high and the radius of its base is
. It is melted and recast
into sphere. Find the radius of the sphere.
Answers
A1.
A2.
A3.
A4.
A5.
A6.
A7.
A8.
A9.
A10.
A11.
A12.
A13.
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A14.
Tin with square base has more capacity,
A15.
A16.
A17.
A18.
A19.
A20.
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