Question Text
Question 1 :
A hemispherical bowl has a radius of 3.5 cm. What would be the volume of water it would contain?
Question 2 :
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 wood .
Question 3 :
The floor of a rectangular hall has a perimeter 250 m. If the cost of painting the four walls at the rate of Rs 10 per $m^2$ is Rs 15000, find the height of the hall. [Hint : Area of the four walls = Lateral surface area.]
Question 4 :
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 the capacity of the vessel.
Question 5 :
Find the cost of digging a cuboidal pit 8 m long, 6 m broad and 3 m deep at the rate of Rs 30 per $m^3$.
Question 6 :
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 7 :
Find the total surface area of a cone, if its slant height is 21 m and diameter of its base is 24 m.
Question 8 :
The diameter of a metallic ball is 4.2 cm. What is the mass of the ball, if the density of the metal is 8.9 g per $cm^3$ ?
Question 9 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d23df59b460d7261f571.jpeg' />
In the above image, a right circular cylinder just encloses a sphere of radius r. Find curved surface area of the cylinder.
Question 10 :
A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high. Which box has the greater lateral surface area and by how much?