Answer the following
1. The total surface area of a cube is 726 cm2. Find the length of its edge. [11cm]
2. How much ice-cream can be put into a cone with base radius 3.5 cm and height 12 cm ? [154cm3]
3. Find the area of the sheet required to make closed cylindrical vessel of height 1 m and diameter 140 cm. [7.48m2]
4. If a wooden box of dimensions 8 m x 7 m x 6 m is to carry boxes of dimensions 8 cm x 7 cm x 6 cm, then find the maximum number of boxes that can be carried in the wooden box. [1000000]
5. How many balls, each of radius 2 cm can be made from a solid sphere of lead of radius 8 cm ? [64]
6. A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted and recast into a sphere. Find the radius of the sphere [2.1cm]
7. A school provides milk to the students daily in cylindrical glasses of diameter 7 cm. If the glass is filled with milk up to a height of 12 cm, find how many litres of milk is needed to serve 1600 students. [739.2 litres]
8. A rectangular piece of paper is 22 cm long and 10 cm wide. A cylinder is formed by rolling the paper along its length. Find the volume of the cylinder. [385cm3]
9. A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m. Find it volume. If 1cm3 wheat cost is Rs 10, then find total cost. [Rs866.25]
10. The curved surface area of a cylinder is 176 cm2 and its area of the base is 38.5 cm2. Find the volume of the cylinder. [Ans:98 cm3]
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