A hemispherical dome of a building needs to be painted. If the circumference of the base of the dome is 17.6m,find the cost of painting it, given the cost of painting is 5rupees per 100cm square.
Answers
Answer:
The he cost of painting = RS. 24617.6
Step-by-step explanation:
circumference of circle = 2πr (where r is the radius)
It is given that,
he circumference of the base of the dome is 17.6m
To find the radius of hemisphere
circumference 2πr = 17.6m
r = 17.6/2π = 8.8π = 2.8 m
To find the curved surface area
Curved surface area of hemisphere = 2πr² 2 * 3.14 *2.8²= 49.2352 m²
49.2352 m² = 492352 cm²
To find the cost for painting
given the cost of painting is 5rupees per 100cm square.
cost for painting 1cm square = 5/100
Therefore the total cost = 5/100(492352) = RS. 24617.6
A hemispherical dome of a building needs to be painted. If the circumference of the base of the dome is 17.6m,find the cost of painting it, given the cost of painting is 5rupees per 100cm square