Chapter 13 – Surface Areas and Volumes

4. If the lateral surface of a cylinder is 94.2cm^2 and its height is 5cm, then find (i) radius of its base (ii) its volume.[Use π= 3.14] 4. If the lateral surface of a cylinder is 94.2cm^2 and its height is 5cm then find (i) radius of its base (ii) its volume.[Use π= 3.14] October [...]

3. A soft drink is available in two packs – (i) a tin can with a rectangular base of length 5cm and width 4cm, having a height of 15 cm and (ii) a plastic cylinder with circular base of diameter 7cm and height 10cm. Which container has greater capacity and by how much? 3. A [...]

2. The inner diameter of a cylindrical wooden pipe is 24cm and its outer diameter is 28 cm. The length of the pipe is 35cm.Find the mass of the pipe, if 1cm^3 of wood has a mass of 0.6g. 2. The inner diameter of a cylindrical wooden pipe is 24cm and its outer diameter is [...]

1. The circumference of the base of cylindrical vessel is 132 cm and its height is 25 cm. How many litres of water can it hold? (1000 cm^3= 1L) 1. The circumference of the base of cylindrical vessel is 132 cm and its height is 25 cm. How many litres of water can it hold? [...]

9. A river 3m deep and 40m wide is flowing at the rate of 2km per hour. How much water will fall into the sea in a minute? 9. A river 3m deep and 40m wide is flowing at the rate of 2km per hour. How much water will fall into the sea in a [...]

8. A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube? Also, find the ratio between their surface areas. 8. A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of [...]

7. A godown measures 40 m×25m×15 m. Find the maximum number of wooden crates each measuring 1.5m×1.25 m×0.5 m that can be stored in the godown. 7. A godown measures 40 m×25m×15 m. Find the maximum number of wooden crates each measuring 1.5m×1.25 m×0.5 m that can be stored in the godown. October 17, 2020 [...]

6. A village, having a population of 4000, requires 150 litres of water per head per day. It has a tank measuring 20 m × 15 m × 6 m. For how many days will the water of this tank last? 6. A village having a population of 4000 requires 150 litres of water per [...]

5. The capacity of a cuboidal tank is 50000 litres of water. Find the breadth of the tank, if its length and depth are respectively 2.5 m and 10 m. 5. The capacity of a cuboidal tank is 50000 litres of water. Find the breadth of the tank if its length and depth are respectively [...]

4. Find the cost of digging a cuboidal pit 8m long, 6m broad and 3m deep at the rate of Rs 30 per m^3. 4. Find the cost of digging a cuboidal pit 8m long 6m broad and 3m deep at the rate of Rs 30 per m^3. October 17, 2020 Category: Chapter 13 - [...]