Question 1 :
A school provides milk to the students daily in a cylindrical glasses of diameter 7 cm. If the glass is filled with milk upto an height of 12 cm, find how many litres of milk is needed to serve 1600 students

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

Question 3 :
How many litres of milk can a hemispherical bowl of diameter 10.5 cm hold?

Question 4 :
The volume of a right circular cone is 9856 $cm^3$ . If the diameter of the base is 28 cm, find slant height of the cone .

Question 5 :
State true or false: Sphere whose radius = r, the surface area must be $4\pi r^{2}$.

Question 6 :
How many square metres of canvas is required for a conical tent whose height is 3.5 m and the radius of the base is 12 m?

Question 7 :
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 8 :
The volume of a right circular cone is 9856 $cm^3$ . If the diameter of the base is 28 cm, find the curved surface area of the cone.

Question 9 :
30 circular plates, each of radius 14 cm and thickness 3cm are placed one above the another to form a cylindrical solid. Find the total surface area.

Question 10 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d240f59b460d7261f575.jpeg' /> In the above image, a wooden bookshelf has external dimensions as follows: Height = 110 cm, Depth = 25 cm, Breadth = 85 cm. The thickness of the plank is 5 cm everywhere. The external faces are to be polished and the inner faces are to be painted. If the rate of polishing is 20 paise per $cm^2$ and the rate of painting is 10 paise per $cm^2$ , find the total expenses required for polishing and painting the surface of the bookshelf.

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 :
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 13 :
A capsule of medicine is in the shape of a sphere of diameter 3.5 mm. How much medicine (in $mm^3$ ) is needed to fill this capsule?

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

Question 15 :
The diameter of a roller is 84 cm and its length is 120 cm. It takes 500 complete revolutions to move once over to level a playground. Find the area of the playground in $m^2$ .Assume $\pi$ =$\frac{22}{7}$.

Question 16 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d23ef59b460d7261f572.jpeg' /> In the above image, a right circular cylinder just encloses a sphere of radius r. Find the ratio of the surface area of the sphere to the curved surface area of the cylinder.

Question 17 :
<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 18 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d236f59b460d7261f567.jpeg' /> In the above image, a corn cob, shaped somewhat like a cone, has the radius of its broadest end as 2.1 cm and length (height) as 20 cm. If each 1 $cm^2$ of the surface of the cob carries an average of four grains, find how many grains you would find on the entire cob.

Question 19 :
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 20 :
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 $\pi$ =$\frac{22}{7}$