A dome of a building is in the form of a hemisphere. From inside, it was white-washed at the
cost of Rs 498.96. If the cost of white-washing is Rs 2.00 per square metre, find the (i). inside
surface area of the dome, (ii). volume of the air inside the dome.
Answers
Answer:
here
cost of white washed = Rs. 498.96
cost per sq. metre = Rs. 2
(i) surface area of the dome = 498.96/2
= 249.98m
sq.
(ii) SA of the hemispherical dome = 2pi.
r×r
=> 249.98 = 2 × 22/7 × r×r
=> 249.98×7/44 = r×r
=> 39.76954 = r×r
=> sq. root 39.7654 = r
=> 6.3 m = r
volume of the air present = 2/3pi.×r×r×r
=2/3×22/7×6.3×6.3×6.3
= 44 × 6.3 × 0.9 × 2.1
= 277.2 × 1.89
= 522.908 m cube
hope it helps