Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

Total cost = Rs. 176 Rate of charge = 25 paise per sq.cm = Rs. 0.25 per sq.cm

Total cost of painting cone = Total surface area of cone * Rate of charge => Total surface area of cone = Total cost of painting cone / Rate of charge = 176/0.25= 704 sq.cm

Let radius of cone be r cm slant height (l) = 25 cm

Total surface area of cone = πr(r+l) => 704 = πr(r+l) => 704 = 22r(r+25)/7 => 704*7/22 = r^2+25r => 224 = r^2+25r => 0 = r^2+25r-224 => 0 = r^2+32r-7r-224 => 0 = r(r+32)-7(r+32) => 0 = (r-7)(r+32) => 0 = r-7 or 0 = r+32 => r = 7 or -32

Discarding negative value as radius cannot be negative Therefore, radius of cone = 7 cm

By Pythagoras Theorem, height of cone = (l^2-r^2)^1/2 = (25^2-7^2)^1/2 = (625-49)^1/2 = (576)^1/2 = 24 cm

Therefore, volume of cone = πr^2h/3 = 22*7*7*24/3*7 = 1232 cu. cm