A rectangular sheet of paper is rolled in two different ways to form
two different cylinders. Find the volume of cylinders in each case if
the sheet measures 44 cm × 33 cm
Water flows from a tank with a rectangular base measuring 80 cm
by 70 cm into another tank with a square base of side 60 cm. If the
water in the first tank is 45 cm deep, how deep will it be in the
second tank?
The ratio between the curved surface area and the total surface area
of a right circular cylinder is 1:2. Find the ratio between the height
and radius of the cylinder.
A rectangular examination hall having seats for 500 candidates has
to be built so as to allow 4 cubic metres of air and 0.5 square metres
of floor area per candidate. If the length of hall be 25 m, find the
height and breadth of the hall.
How many bricks of size 22 cm × 10 cm × 7 cm are required to
construct a wall 11m long, 3.5 m high and 40 cm thick, if the cement
and sand used in the construction occupy (1/10)th part of the wall?
The length, breadth and height of a cuboidal reservoir is 7 m, 6 m
and 15 m respectively. 8400 L of water is pumped out from the
reservoir. Find the fall in the water level in the reservoir.
A cylindrical tank has a radius of 154 cm. It is filled with water to a
height of 3 m. If water to a height of 4.5 m is poured into it, what will
be the increase in the volume of water in kl?
Four times the area of the curved surface of a cylinder is equal to 6
times the sum of the areas of its bases. If its height is 12 cm, find its
curved surface area.
From a pipe of inner radius 0.75 cm, water flows at the rate of 7 m
per second. Find the volume in litres of water delivered by the pipe
in 1 hour
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