Question

A temple has a conical dome. The
radius of the dome is 3.5 m and its
height is 12 m. Find the cost of painting
the external surface of the dome at
the rate of 30 per m².
m2​

Answer 1

Answer:

Since only the rounded surface of the dome is to be painted we need to find the curved surface area of the hemisphere to know the extent of painting that needs to be done. 

Now, circumference of base of the dome = 17.6 m   Therefore 17.6 = 2πr

So, The radius of the dome =17.6×2×227m

= 2.8 m

The curved surface area of the dome =2πr2

=2×722×2.8×2.8m2

=49.28m2

Now, cost of painting 100 cm2 is Rs. 5

So, cost of painting 1 m2 = Rs. 500

Therefore, cost of painting the whole dome

=Rs.500×49.28

=Rs.24640

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Answer 2

Answer:

Step-by-step explanation:

Several important cities and towns can be found along the banks of the Ganges, including Haridwar, Kanpur, Allahabad, Varanasi, Patna, and Bhagalpur. The Ganga occupies a special place in the hearts and thoughts of the Indian people as the most revered of all Indian rivers.

Now, circumference of base of the dome = 17.6 m   Therefore 17.6 = 2πr

So, The radius of the dome =17.6×2×227m

= 2.8 m

The curved surface area of the dome =2πr2

=2×722×2.8×2.8m2

=49.28m2

Now, cost of painting 100 cm2 is Rs. 5

So, cost of painting 1 m2 = Rs. 500

Therefore, cost of painting the whole dome

=Rs.500×49.28

=Rs.24640

therefore, the cost of painting the external surface of the dome at

the rate of 30 per m² is Rs.24640.

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