A Swimming pool was constructed for swimmers with 18 meter wide and 24 meter long is 4 meter deep on shallow side and 8 meter deep on the deeper side. It's volume for average depth is:

Which of the following statements are incorrect?

(a) Volume of a cone = $\frac{1}{3}\pi r^3 h$

(b) Volume of a cone = $\frac{1}{3}\pi r^2 h$

(c) Volume of a hemisphere = $\frac{2}{3}\pi r^2$

(d) Volume of a hemisphere = $\frac{2}{3}\pi r^3$

(e) Volume of a cylinder = $\frac{1}{3}\pi r^3 h$

Choose the correct answer from the options given below:

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

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

Find the total surface area of a solid hemisphere of diameter 14 cm.

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:

Consider the surface area of the following:

(A) A cube having each side as 6 cm.

(B) A cylinder with a diameter of base 14 cm and length 80 cm.

(C) A cone of diameter 14 cm and a slant height of 10 cm.

(D) A sphere of radius 10.5 cm.

The surface area of these in decreasing order are:

Choose the correct answer from the options given below: