Question 1 :
A shot-putt is a metallic sphere of radius 4.9 cm. If the density of the metal is 7.8 g per $cm^3$ , find the mass of the shot-putt.

Question 2 :
A storage tank is in the form of a cube. When it is full of water, the volume of water is 15.625 $m^3$.If the present depth of water is 1.3 m, find the volume of water already used from the tank.

Question 3 :
It costs Rs 2200 to paint the inner curved surface of a cylindrical vessel 10 m deep. If the cost of painting is at the rate of Rs 20 per $m^2$ , find radius of the base.

Question 4 :
A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m.The heap is to be covered by canvas to protect it from rain. Find the area of the canvas required.

Question 5 :
State true or false : Cuboid whose length = l, breadth = b and height = h ; Volume of cuboid = lbh

Question 6 :
If we have a cuboid whose length, breadth and height are 15 cm, 10 cm and 20 cm respectively, then its surface area would be:

Question 7 :
The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into it. Find the ratios of the surface areas of the balloon in the two cases.

Question 8 :
Find the capacity in litres of a conical vessel with height 12 cm, slant height 13 cm.

Question 9 :
Find the surface area of a sphere of diameter 21 cm.

Question 10 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d23cf59b460d7261f56f.jpeg' /> In the above image, you see the frame of a lampshade. It is to be covered with a decorative cloth. The frame has a base diameter of 20 cm and height of 30 cm. A margin of 2.5 cm is to be given for folding it over the top and bottom of the frame. Find how much cloth is required for covering the lampshade.Assume $\pi$ =$\frac{22}{7}$.

Question 11 :
A plastic box 1.5 m long, 1.25 m wide and 65 cm deep is to be made. It is opened at the top. Ignoring the thickness of the plastic sheet, determine the area of the sheet required for making the box.

Question 12 :
What length of tarpaulin 3 m wide will be required to make conical tent of height 8 m and base radius 6 m? Assume that the extra length of material that will be required for stitching margins and wastage in cutting is approximately 20 cm (Use $\pi$= 3.14).

Question 13 :
In a cylinder, if radius is halved and height is doubled, the volume will be:

Question 14 :
A cloth having an area of 165 $m^2$ is shaped into the form of a conical tent of radius 5 m. How many students can sit in the tent if a student, on an average, occupies $\frac{5}{7} m^2$ on the ground?

Question 15 :
State true or false: In a right circular cone, height, radius and slant height do not always be sides of a right triangle.

Question 16 :
Rain water which falls on a flat rectangular surface of length 6 m and breadth 4 m is transferred into a cylindrical vessel of internal radius 20 cm. What will be the height of water in the cylindrical vessel if the rain fall is 1 cm. Give your answer to the nearest integer.($\pi=3.14$)

Question 17 :
Diameter of the base of a cone is 10.5 cm and its slant height is 10 cm. Find its curved surface area.