The curved surface of a hemispherical dome is painted at Rs 5 per $100 cm^{2}$ ,
and the total cost comes to Rs 61.60.
Find the radius of the dome (take π = 22/7).

Question

The curved surface of a hemispherical dome is painted at Rs 5 per 100 cm^2, and the total cost comes to Rs 61.60. Find the radius of the dome (take π = 22/7).

Accepted Answer

14 cm. Area painted = (61.60/5)*100 = 1232 cm^2. For a dome's curved surface 2*π*r^2 = 1232 gives r^2 = 1232*7/(2*22) = 196, so r = 14 cm.

The curved surface of a hemispherical dome is painted at Rs 5 per $100 cm^{2}$ ,
and the total cost comes to Rs 61.60.
Find the radius of the dome (take π = 22/7).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Surface Area of a Sphere practice

The curved surface of a hemispherical dome is painted at Rs 5 per 100cm2,and the total cost comes to Rs 61.60.Find the radius of the dome (take π = 22/7).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Surface Area of a Sphere practice

The curved surface of a hemispherical dome is painted at Rs 5 per $100 cm^{2}$ ,
and the total cost comes to Rs 61.60.
Find the radius of the dome (take π = 22/7).