Question 1 :
A semi-circular sheet of metal of diameter 28cm is bent to form an open conical cup. Find the capacity of the cup.

Question 3 :
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 4 :
A godown measures 40 m × 25 m × 15 m. Find the maximum number of wooden crates each measuring 1.5 m × 1.25 m × 0.5 m that can be stored in the godown.

Question 5 :
Find the capacity in litres of a conical vessel with height 12 cm, slant height 13 cm.

Question 6 :
A hemispherical bowl has a radius of 3.5 cm. What would be the volume of water it would contain?

Question 7 :
Find the volume of a sphere whose surface area is 154 $cm^2$ .

Question 8 :
State true or false : Cuboid whose length = l, breadth = b and height = h ; Diagonal of cuboid = $6\sqrt{l^{2}+b^{2}+h^{2}}$.

Question 9 :
A soft drink is available in two packs – (i) a tin can with a rectangular base of length 5 cm and width 4 cm, having a height of 15 cm and (ii) a plastic cylinder with circular base of diameter 7 cm and height 10 cm. Which container has greater capacity and by how much?

Question 10 :
A cylindrical tube opened at both the ends is made of iron sheet which is 2 cm thick. If the outer diameter is 16 cm and its length is 100 cm, find how many cubic centimeters of iron has been used in making the tube ?

Question 11 :
A wall of length 10 m was to be built across an open ground. The height of the wall is 4 m and thickness of the wall is 24 cm. If this wall is to be built up with bricks whose dimensions are 24 cm × 12 cm × 8 cm, how many bricks would be required?

Question 12 :
30 circular plates, each of radius 14 cm and thickness 3cm are placed one above the another to form a cylindrical solid. Find volume of the cylinder so formed.

Question 13 :
Find the surface area of a sphere of radius 10.5 cm.

Question 14 :
The height of a cone is 16 cm and its base radius is 12 cm. Find the curved surface area of the cone (Use $\pi$ = 3.14).

Question 15 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d23ff59b460d7261f574.jpeg' /> In the above image, the front compound wall of a house is decorated by wooden spheres of diameter 21 cm, placed on small supports as shown. Eight such spheres are used for this purpose, and are to be painted silver. Each support is a cylinder of radius 1.5 cm and height 7 cm and is to be painted black. Find the cost of paint required if silver paint costs 25 paise per $cm^2$ and black paint costs 5 paise per $cm^2$ .

Question 16 :
The total surface area of a cube is 96 $cm^2$. Find the volume of the cube.

Question 17 :
Find the curved surface area of a hemisphere of radius 21 cm.

Question 18 :
A right triangle with sides 6 cm, 8 cm and 10 cm is revolved about the side 8 cm. Find the curved surface of the solid so formed.

Question 19 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d239f59b460d7261f56b.jpeg' /> In the above image, at a Ramzan Mela, a stall keeper in one of the food stalls has a large cylindrical vessel of base radius 15 cm filled up to a height of 32 cm with orange juice. The juice is filled in small cylindrical glasses (see the above image) of radius 3 cm up to a height of 8 cm, and sold for Rs 15 each. How much money does the stall keeper receive by selling the juice completely?

Question 20 :
A conical pit of top diameter 3.5 m is 12 m deep. What is its capacity in kilolitres?