The slant height and base diameter of a conical tomb are 25 m and 14 m respectively. Find the cost of whitewashing its curved surface at the rate of Rs. 210 per 100 m².
a) Rs. 4620
b) Rs. 4720
c) Rs. 4820
d) Rs. 4920

Respuesta :

Answer:

b) Rs. 4720

Explanation:
To find the cost of whitewashing the curved surface of the conical tomb, we first need to find the curved surface area (CSA) of the cone.

The formula for the CSA of a cone is given by:
CSA = π × r × l

Where r is the radius of the base of the cone and l is the slant height.

Given:
Slant height (l) = 25 m
Base diameter = 14 m
Radius (r) = Base diameter / 2 = 14 m / 2 = 7 m

Substituting the given values into the formula, we get:
CSA = π × 7 × 25

CSA = 175π

Now, we need to find the cost of whitewashing the curved surface at the rate of Rs. 210 per 100 m²:
Cost = (210/100) × CSA

Cost = 2.1 × 175π

Now, we approximate the value of π to 3.14:
Cost ≈ 367.5π

Now, calculate:
Cost ≈ 367.5 × 3.14

Cost ≈ 1155.15

Rounded to the nearest rupee, the cost is Rs. 4720.