CBSE Class 10-Mathematics: Chapter – 13 Surface Areas and Volumes Part 26 (For CBSE, ICSE, IAS, NET, NRA 2022)

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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

Cost of 8.164 litres

(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

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

In 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