Q1.
A vessel is in the form of a hemispherical bowl mounted by a hollow cylinder. The
diameter of the hemisphere is
and the total height of the vessel is
.
Find the volume of this vessel. Take
Q2.
A tent is in the form of a cylinder of diameter
a cone of equal base and height
Q3.
Q4.
and height
, surmounted by
. Find the capacity of tent.
A toy is in the form of a cone mounted on a hemisphere of diameter
. The
total height of the toy is
. Find the total surface area of the toy.
A solid cylinder of diameter
and height
is melted and recast into
toys
in the shape of a right circular cone mounted on a hemisphere. Find the radius of
the hemisphere, if height of the cone is
the radius.
Q5.
A solid is composed of a cylinder with hemispherical ends. If whole length is
and the radius of each of its hemispherical ends is
, find the total
surface area.
Q6.
A circus tent is cylindrical to a height of
is
Q7.
, slant height of cone is
. Find area of canvas needed to make the tent.
A toy is in the form of a cone mounted on a hemisphere of diameter
total height of the toy is
Q8.
and conical above it. If its base radius
There are
. If the
, find the volume of the toy.
small cylindrical bottles of diameter
. The liquid filled in
these bottles has to be emptied in a hemispherical bowls to make it just full. Find
the radius of the bowl.
Q9.
A metallic sphere of radius
each of radius
Q10.
and height
The radius of a metal sphere is
is melted and then recast into smaller cones,
. How many cones are obtained?
. The sphere is melted and drawn into long
wire of uniform circular cross section. If the radius of the wire is
, find the
length of the wire.
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Q11.
The rain water from a roof
diameter of base
drains in to a cylindrical vessel having
and height
. If the vessel is just full, find the rainfall in
.
Q12.
How many spherical bullets can be made out of a solid cube of lead whose edge
measures
, each bullet being
in diameter?
Q13.
A cuboid of dimensions
is cast into a hollow cylindrical pipe of
internal radius
, Find the length of the pipe.
Q14.
and thickness
A solid metallic sphere of diameter
solid cones, each of diameter
is melted and recast into a number of
and height
. Find the number of cones so
Q15.
formed.
Radius of a sphere is
Q16.
the diameter of the wire.
If the radii of the circular ends of a conical bucket of height
. It is melted and drawn into a wire of length
. Find
is
, find the capacity of the bucket.
Q17.
If the radii of the ends of a bucket are
Q18.
find its surface area.
If the radii of the ends of a
Q19.
what is its volume?
The diameter of a cylinder is
Q20.
area of the cylinder.
The curved surface area of a cylinder is
height is given to be
, and height is
, then
high frustum of a cone are
and height is
,
. Find the total surface
. Find its base radius, if the
.
Answers
A1.
A2.
A3.
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A4.
A5.
A6.
A7.
A8.
A9.
.
A10.
A11.
A12.
A13.
A14.
A15.
A16.
A17.
A18.
A19.
A20.
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