Question 1 :
The inner diameter of a circular well is 3.5 m. It is 10 m deep. Find the cost of plastering this curved surface at the rate of Rs 40 per $m^2$.Assume $\pi$ =$\frac{22}{7}$
Question 2 :
State true or false: Curved surface area of hemisphere is $2\pi r^{2}$.
Question 3 :
If we cut out many of the plane figures and stack them up in a vertical pile is called ______
Question 4 :
<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 5 :
A semi-circular sheet of metal of diameter 28cm is bent to form an open conical cup. Find the capacity of the cup.
Question 6 :
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 7 :
<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 8 :
State true or false : Cuboid whose length = l, breadth = b and height = h ; Total surface area of cuboid = 2 ( lb + bh + hl )
Question 9 :
<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 10 :
Find the surface area of a sphere of radius 10.5 cm.
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 :
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 13 :
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 14 :
A lead pencil consists of a cylinder of wood with a solid cylinder of graphite filled in the interior. The diameter of the pencil is 7 mm and the diameter of the graphite is 1 mm. If the length of the pencil is 14 cm, find the volume of the graphite .
Question 15 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d23af59b460d7261f56c.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 inner curved surface area.Assume $\pi$ =$\frac{22}{7}$.
Question 16 :
A hemispherical bowl has a radius of 3.5 cm. What would be the volume of water it would contain?
Question 17 :
A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted and recasted into a sphere. Find the radius of the sphere.
Question 18 :
Find the surface area of a sphere of radius 7 cm.
Question 19 :
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. How much of tape is needed for all the 12 edges?
Question 20 :
Parveen wanted to make a temporary shelter for her car, by making a box-like structure with tarpaulin that covers all the four sides and the top of the car (with the front face as a flap which can be rolled up). Assuming that the stitching margins are very small, and therefore negligible, how much tarpaulin would be required to make the shelter of height 2.5 m, with base dimensions $4m\times3m$?