Question : A hemispherical bowl has a radius of 7 cm. It is to be painted from inside as well as outside. Find the cost of painting it at the rate of Rs. 40 per 20 cm². (Take the thickness of the bowl as negligible).

Option 1: Rs. 1,232

Option 2: Rs. 1,125

Option 3: Rs. 1,432

Option 4: Rs. 1,550

Question : If the inner radius of a hemispherical bowl is 5 cm and its thickness is 0.25 cm, find the volume of the material required to make the bowl. (Use $\pi = \frac{22}{7}$)
(Rounded up to two decimal places).

Option 1: 34 cm³

Option 2: 44 cm³

Option 3: 45.34 cm³

Option 4: 41.28 cm³

Question : Steel is used to make a hemispherical bowl that is 0.37 cm thick. The bowl's inner radius is 6 cm. Find the bowl's outside curved surface area (take $\pi=\frac{22}{7}$).

Option 1: 532 cm²

Option 2: 255.0548 cm²

Option 3: 484 cm²

Option 4: 523.4107 cm²

Question : The volume of a sphere of radius 4.2 cm is: (Use $\pi=\frac{22}{7}$)

Option 1: 278.234 cm³

Option 2: 312.725 cm³

Option 3: 297.824 cm³

Option 4: 310.464 cm³

Question : The centroid of a $\triangle ABC$ is G. The area of $\triangle ABC$ is 60 cm². The area of $\triangle GBC$ is:

Option 1: 10 cm²

Option 2: 30 cm²

Option 3: 40 cm²

Option 4: 20 cm²

Question : The external diameter of an iron pipe is 20 cm and its length is 12 cm. If the thickness of the pipe is 1 cm, find the surface area of the pipe (take $\pi=\frac{22}{7}$ ) correct to two places of decimal.

Option 1: 1,662.67 cm²

Option 2: 1,552.57 cm²

Option 3: 1,442.48 cm²

Option 4: 1,772.76 cm²