A hemispherical bowl is 176 cm round the brim. Supposing it to be half full, how many peoples may be served from it in hemispherical glasses 4 cm in diameter at the top?

The ratio of the diameter and height of the right circular cylinder is 4 : 3. If the diameter of the cylinder is reduced 25 %, then its total surface area is reduced to 318.5π m². What is the circumference of the base of the cylinder?

The solid and the Surface area (S.A) of the following solids are given below.

(A) A cube of edge 9 cm., S.A = $486 \text{ cm}^2$

(B) A cuboid of 18 cm. long, 14 cm. width and 7 cm. height, S.A = $108 \text{ cm}^2$

(C) A cylinder with diameter of 14 cm. and height 80 cm., S.A = $3520 \text{ cm}^2$

(D) A sphere with radius of 14 cm., S.A = $2004 \text{ cm}^2$

Choose the correct answer from the options given below:

A rectangular sheet 50 cm by 30 cm is rolled along the 30 cm side to form a cylinder (open at both ends). The radius of the cylinder is:

The volumes of 3 solid cubes made of metal are 125 cm$^3$, 64 cm$^3$ and 27 cm$^3$ respectively. After melting all the three cubes a solid cube is made. Find the edge of the new cube.

The base radius of a cone is 21 cm and the height is 28cm, then which of the following is/are correct?

(A) Slant height = 35 cm

(B) Slant height = 33 cm

(C) Volume = 12936 cm³

(D) Curved Surface Area = 2310 cm²

Choose the correct answer from the options given below:

The surface area (in $m^2$) of a sphere of radius 7 cm is:

Use $\pi = \frac{22}{7}$