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CBSE Class 10- Mathematics: Chapter – 13 Surface Areas and Volumes Part 26
Question 6:
A bucket made up of metal sheet is in the form of frustum of a cone. Its depth is and the diameters of the top and bottom are and respectively. Find the cost of milk which will completely fill the bucket at the rate ₹ 20 per litre and cost of metal sheet used if it costs ₹ 10 per .
Answer:
(i) Volume of bucket
Quantity of milk
Cost of 1 liter of milk = ₹ 20
Cost of 8.164 litres milk = ₹ 20 × 8.14 = ₹ 163.28
(ii) T. S. A. of bucket (excluding the upper end)
Question 7:
A solid consisting of a right circular cone standing on a hemisphere, is placed upright in a right circular cylinder, full of water and touches the bottom. Find the volume of water left in the cylinder having given that the radius of the cylinder is and its height is . The radius of hemisphere is and the height of the cone is . Give your answer to the nearest cubic centimeters.
Answer:
Volume of cylinder
Volume of cone
Volume of hemisphere
Volume of water in the cylinder
Cost of metal sheet ₹ 10
Cost of metal sheet
= ₹ 171.13
Question 8:
A farmer connects a pipe of internal diameter from a canal into a cylindrical tank in his field which is in diameter and deep. If water flows through the pipe at the rate of , in how much time will the tank be filled?
Answer:
Rate of water flowing
second the water flows
Internal diameter
Volume of the water that flows through the pipe in one second
Volume of water in the tank
Time taken to fill the tank
minutes hour minutes