Question 1 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d23af59b460d7261f56d.jpeg' /> In the above image, a metal pipe is 77 cm long. The inner diameter of a cross section is 4 cm, the outer diameter being 4.4 cm. Find its outer curved surface area.Assume $\pi$ =$\frac{22}{7}$.

Question 2 :
Monica has a piece of canvas whose area is 551 $m^2$ . She uses it to have a conical tent made, with a base radius of 7 m. Assuming that all the stitching margins and the wastage incurred while cutting, amounts to approximately 1 $m^2$ , find the volume of the tent that can be made with it.

Question 3 :
State true or false: If the radius of a right circular cone is halved and height is doubled, the volume will remain unchanged.

Question 4 :
The water for a factory is stored in a hemispherical tank whose internal diameter is 14 m. The tank contains 50 kilolitres of water. Water is pumped into the tank to fill to its capacity. Calculate the volume of water pumped into the tank.

Question 5 :
State true or false : Cuboid whose length = l, breadth = b and height = h ; Lateral surface area of cuboid = 2 h (l + b)

Question 6 :
State true or false : Cuboid whose length = l, breadth = b and height = h ; Total surface area of cuboid = 2 ( lb + bh + hl )

Question 7 :
State true or false: If the radius of a cylinder is doubled and its curved surface area is not changed, then height must be halved.

Question 8 :
Find the surface area of a sphere of diameter 3.5 m.

Question 9 :
Find the total surface area of a hemisphere of radius 10 cm. (Use $\pi$ = 3.14)

Question 10 :
The paint in a certain container is sufficient to paint an area equal to 9.375 $m^2$ . How many bricks of dimensions $22.5cm\times10cm\times7.5cm$ can be painted out of this container?

Question 11 :
The diameter of a sphere is decreased by $25\%$. By what per cent does its curved surface area decrease?

Question 12 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d238f59b460d7261f56a.jpeg' /> In the above image, the pillars of a temple are cylindrically shaped. If each pillar has a circular base of radius 20 cm and height 10 m, how much concrete mixture would be required to build 14 such pillars?

Question 13 :
Find the capacity in litres of a conical vessel with radius 7 cm, slant height 25 cm .

Question 14 :
A cuboidal water tank is 6 m long, 5 m wide and 4.5 m deep. How many litres of water can it hold? (1 $m^3$ = 1000 $l$)

Question 15 :
A small indoor greenhouse (herbarium) is made entirely of glass panes (including base) held together with tape. It is 30 cm long, 25 cm wide and 25 cm high.What is the area of the glass?

Question 16 :
State true or false: Cone having height = h, radius = r and slant height = l, should have the curved surface area of $\pi rl$.

Question 17 :
Find the number of planks of dimensions (4 m × 50 cm × 20 cm) that can be stored in a pit which is 16 m long, 12m wide and 4 m deep.

Question 18 :
<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 19 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d237f59b460d7261f568.jpeg' /> In the above image, a hemispherical dome of a building needs to be painted. If the circumference of the base of the dome is 17.6 m, find the cost of painting it, given the cost of painting is Rs 5 per 100 $cm^2$

Question 20 :
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 21 :
If the triangle ABC with sides 5 cm,12 cm and 13 cm is revolved about the side 5 cm, then find the volume of the solid so obtained.

Question 22 :
A hemispherical bowl is made of steel, 0.25 cm thick. The inner radius of the bowl is 5 cm. Find the outer curved surface area of the bowl.

Question 23 :
Two solid spheres made of the same metal have weights 5920 g and 740 g, respectively. Determine the radius of the larger sphere, if the diameter of the smaller one is 5 cm.

Question 24 :
Curved surface area of a right circular cylinder is 4.4 $m^2$ . If the radius of the base of the cylinder is 0.7 m, find its height.Assume $\pi$ =$\frac{22}{7}$.

Question 26 :
A sphere and a right circular cylinder of the same radius have equal volumes. By what percentage does the diameter of the cylinder exceed its height ?

Question 27 :
The diameter of the moon is approximately one-fourth of the diameter of the earth. What fraction of the volume of the earth is the volume of the moon?

Question 28 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d23bf59b460d7261f56e.jpeg' /> In the above image, a metal pipe is 77 cm long. The inner diameter of a cross section is 4 cm, the outer diameter being 4.4 cm. Find its total surface area.Assume $\pi$ =$\frac{22}{7}$.

Question 29 :
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 30 :
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.