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 : A one-metre pipe is made with an inner diameter equal to the outer radius. How much material (in cubic mitres) is required to make the pipe, if it can hold $\frac{88}{7}$ cubic metres of water in it?

Option 1: 37.7

Option 2: 35.5

Option 3: 33.3

Option 4: 36.6

Question : A conical tent with a radius of 6 units and a height of 8 units is to be made with canvas. How much canvas is needed to make the tent? (Rounded off to two places of decimals)

Option 1: 188.57 units

Option 2: 155.87 units

Option 3: 166.57 units

Option 4: 177.55 units

Question : A metallic solid spherical ball of radius 3 cm is melted and recast into three spherical balls. The radii of two of these balls are 2 cm and 1.5 cm. What is the surface area (in cm²) of the third ball?

Option 1: $50 \pi$

Option 2: $\frac{25}{4} \pi$

Option 3: $25 \pi$

Option 4: $\frac{25}{2} \pi$

Question : To have a surface area of $9\pi$ square units of a ball, what should be the diameter (in units) of the ball?

Option 1: 2.5

Option 2: 2

Option 3: 1.5

Option 4: 3

Question : A well with an inner radius of 3 m, is dug 6 m deep. The soil taken out of it has been spread evenly all around it to a width of 2 m to form an embankment. The height (in m) of the embankment is:

Option 1: $4 \frac{1}{2}$

Option 2: $4 \frac{1}{4}$

Option 3: $3 \frac{1}{4}$

Option 4: $3 \frac{3}{8}$