The adjoining figure shows a solid trophy made of shining glass. If one cubic centimeter of glass costs ₹ 0.75, find the cost of the glass for making the trophy.

From figure,

Edge of cubical part = 28 cm.

Diameter of cylindrical part = 28 cm

radius = $\dfrac{\text{Diameter}}{2}$

= $\dfrac{\text{28}}{2}$ = 14 cm.

Height of cylinder = 28 cm.

Volume of cube = (side)³ = (28)³ = 21952 cm³.

Volume of cylinder = πr²h.

Putting values we get,

$\text{Volume of cylinder } = \dfrac{22}{7} \times 14^2 \times 28 \\[1em] = \dfrac{22 \times 196 \times 28}{7} \\[1em] = \dfrac{120736}{7} \\[1em] = 17248 \text{ cm}^3.$

Total volume of trophy = Volume of cube + Volume of cylinder
= 21952 + 17248 = 39200 cm³.

Cost of 1 cm³ of glass = ₹0.75

Total cost of glass = 39200 × 0.75 = ₹29400.

Hence, the cost of making the trophy is ₹29400.