the cost of painting a cylinder of height 12cm at the rate of Rs.60 per square meter id Rs756000 .find the radius of cylinder
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h= 12cm = 0.12m
rate: ₹60/m^(2)
cost= ₹756000
we know, cost = area × rate
756000 = area × 60
area= 756000/60
area: 12600m^(2)
we know,
total surface area of cylinder: 2πr(r+h)
12600m^(2) = 2 × 22/7 × r (r + 0.12)
12600 × 7/44 = r^(2) + 12/100r
88200/44 = r^(2) + 0.12r
22050/11 - 12/100r = r^(2)
22050/11 - 3/25 = r
r = 240m (app)
rate: ₹60/m^(2)
cost= ₹756000
we know, cost = area × rate
756000 = area × 60
area= 756000/60
area: 12600m^(2)
we know,
total surface area of cylinder: 2πr(r+h)
12600m^(2) = 2 × 22/7 × r (r + 0.12)
12600 × 7/44 = r^(2) + 12/100r
88200/44 = r^(2) + 0.12r
22050/11 - 12/100r = r^(2)
22050/11 - 3/25 = r
r = 240m (app)
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