The slant height and base height diameter of a conical tomb are 25m and 14m respectively. Find the cost of white washing its curved surface at the rate of Rs 210 per 100m².
Answers
given :-
slant height of the cone = l = 25m
diameter of the cone = d = 14cm
we know that diameter is double the Length if it's radius.
➡ base radius of the cone = 14/2
= 7cm
now, we have to find the cost of white washing it's curved surface area.
so first of all, let's find it's CSA
formula to find the curved surface area of a cone is πrl.
➡ it's curved surface area = πrl
= 22/7 × 7 × 25
= 22 × 25
= 550m²
if 100m² costs = rs 210
➡ 1m² = 210/100 = Rs 2.1
hence, total cost of white washing = 550 × 2.1
= Rs 1155
GIVEN :
Slant Height of the conical tomb = l = 25m
Diameter of the conical tomb = d = 14m
Radius of the conical tomb = 14/2 = 7m
CSA of the conical tomb = πrl
= 22/7 × 7 × 25
= 22 × 25
= 22 × 25
= 550m²
Cost of painting at the rate of ₹210 per 100m²
Cost of painting the whole curved surface area = (550 × 210) / 100
= 55 × 21
= ₹1155
Therefore, the cost of painting the curved surface area of conical tomb is ₹1155.