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CHAP13_EX13.5_1. A copper wire, 3 mm in diameter, is wound about a cylinder whose length is 12 cm, and diameter 10 cm, so as to cover the curved surface of the cylinder. Find the length and
mass of the wire, assuming the density of copper to be 8.88 g per cm3
CHAP13_EX13.5_3. A cistern, internally measuring 150 cm × 120 cm × 110 cm, has 129600 cm3
of water in it. Porous bricks are placed in the water until the cistern is full to the brim. Each brick absorbs one-seventeenth of its own volume of water. How many bricks can be put in
without overflowing the water, each brick being 22.5 cm × 7.5 cm × 6.5 cm?
CHAP13_EX13.5_4. In one fortnight of a given month, there was a rainfall of 10 cm in a river valley. If the area of the valley is 7280 km2, show that the total rainfall was approximately equivalent to the addition to the normal water of three rivers each 1072 km long, 75 m wide and 3 m deep.
CHAP13_EX13.3_7.A cylindrical bucket, 32 cm high and with radius of base 18 cm, is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed. If the height of the conical heap is 24 cm, find the radius and slant height of the heap.
CHAP13_EX13.3_8. Water in a canal, 6 m wide and 1.5 m deep, is flowing with a speed of 10 km/h. How much area will it irrigate in 30 minutes, if 8 cm of standing water is needed?
CHAP13_EX13.3_9. A farmer connects a pipe of internal diameter 20 cm from a canal into a cylindrical tank in her field, which is 10 m in diameter and 2 m deep. If water flows through the pipe at the rate of 3 km/h, in how much time will the tank be filled
CHAP13_EX13.3_Selvi’s house has an overhead tank in the shape of a cylinder. This
is filled by pumping water from a sump (an underground tank) which is in the
shape of a cuboid. The sump has dimensions 1.57 m × 1.44 m × 95cm. The
overhead tank has its radius 60 cm and height 95 cm. Find the height of the water
left in the sump after the overhead tank has been completely filled with water
from the sump which had been full. Compare the capacity of the tank with that of
the sump. (Use π = 3.14
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