Question Text
Question 1 :
It is required to make a closed cylindrical tank of height 1 m and base diameter 140 cm from a metal sheet. How many square metres of the sheet are required for the same?Assume $\pi$ =$\frac{22}{7}$.
Question 2 :
If the volume of a right circular cone of height 9 cm is 48 $\pi$ $cm^3$ , find the diameter of its base.
Question 3 :
The height of a cone is 15 cm. If its volume is 1570 $cm^3$ , find the radius of the base. (Use $\pi$ = 3.14)
Question 4 :
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In the above image, Mary wants to decorate her Christmas tree. She wants to place the tree on a wooden box covered with coloured paper with picture of Santa Claus on it. She must know the exact quantity of paper to buy for this purpose. If the box has length, breadth and height as 80 cm, 40 cm and 20 cm respectively how many square sheets of paper of side 40 cm would she require?
Question 5 :
Find the total surface area of a cone, if its slant height is 21 m and diameter of its base is 24 m.
Question 6 :
A conical tent is 10 m high and the radius of its base is 24 m. Find the cost of the canvas required to make the tent, if the cost of 1 $m^2$ canvas is Rs 70.
Question 7 :
The volumes of the two spheres are in the ratio 64 : 27. Find the ratio of their surface areas.
Question 8 :
A hemispherical bowl has a radius of 3.5 cm. What would be the volume of water it would contain?