The dome of a building is in the form of a hemisphere. Its radius is 63 dm. Find the cost of painting it at the rate of Rs. 2 per sq. m.

Open in App

Solution

Radius of dome (hemispherical ) = 63 dm
$∴$ Area of curved surface
$= 2 π r^{2} = 2 \times \frac{22}{7} \times 63 \times 63 d m^{2} = 24948 d m^{2}$
Rate of painting $= R s . 2 P e r s q . m T o t a l c o s t = \frac{24948 \times 2}{100} = R s . 249.48 \times 2 = R s . 498.96$

Suggest Corrections

Similar questions

The dome of a building is hemispherical in shape,having radius of 7 m. It has to be painted at Rs.5 per sq. m. Find the total cost of painting the dome.

Q. The door of a building is in the form of a hemisphere its radius is 63 deci metre. find the cost of painting it at the rate of rupees 2 per square metre.

Q. A hemispherical dome of a building needs to be painted. If the circumference of the base of the dome is

44 m

, find the cost of painting it, given the cost of painting is

R s 2

per

100 c m^{2}

Q. The inner curved surface area of a hemispherical dome of a building needs to be painted. If the circumference of the base is

17.6 m

, find the cost of painting it at the rate of Rs.

5

per sq.m

The circumference of a hemispherical dome is 44 m. Calculate the cost of painting at Rs 20 per sq. m.

Join BYJU'S Learning Program

The dome of a building is in the form of a hemisphere. Its radius is 63 dm. Find the cost of painting it at the rate of Rs. 2 per sq. m.

Radius of dome (hemispherical ) = 63 dm ∴ Area of curved surface =2πr2=2×227×63×63dm2=24948dm2 Rate of painting =Rs.2Per sq.mTotal cost=24948×2100=Rs.249.48×2=Rs.498.96

Radius of dome (hemispherical ) = 63 dm
$∴$ Area of curved surface
$= 2 π r^{2} = 2 \times \frac{22}{7} \times 63 \times 63 d m^{2} = 24948 d m^{2}$
Rate of painting $= R s . 2 P e r s q . m T o t a l c o s t = \frac{24948 \times 2}{100} = R s . 249.48 \times 2 = R s . 498.96$