Question : The volume of a conical tent is 1232 m³ and the area of its base is 154 sq m. Find the length of the canvas required to build the tent, if the canvas is 2 m in width. (Take $\pi=\frac{22}{7}$)

Option 1: 270 m

Option 2: 272 m

Option 3: 276 m

Option 4: 275 m

Question : A ball is to be made with an inner radius of 2 units and an outside radius of 3 units. How much material is required to make the ball?

Option 1: $\frac{19}{3} \pi$

Option 2: $19 \pi$

Option 3: $\frac{76}{3} \pi$

Option 4: $\pi$

Question : How many metres of 2-m-wide cloth will be required to make a conical tent with a diameter of the base of 14 m and a slant height of 9 m ignoring wastage?

Option 1: 66 m

Option 2: 88 m

Option 3: 99 m

Option 4: 77 m

Question : A is the centre of a circle whose radius is 8 units, and B is the centre of a circle whose diameter is 8 units. If these two circles touch externally, then the area of the circle with diameter AB is:

Option 1: $36\pi$ sq. units

Option 2: $64\pi$ sq. units

Option 3: $144\pi$ sq. units

Option 4: $256\pi$ sq. units

Question : A cuboid with sides 4, 6, and 8 units is covered with paper. The paper is removed and a square is made from it. What is the side (in units) of the square?

Option 1: 12.24

Option 2: 16.62

Option 3: 14.42

Option 4: 12.62