Question

volume of cone = 1212 cm3 height = 24 cm
curved surface area = ? slant height l = ?

volume of cone = 1/3×πrsquareh

l square=h square + r square

curved surface area of cone = πrl

Answer 1

⚫Slant height (l) = Sqrt(r² + h²) = Sqrt(3² + 4²)= Sqrt(9 + 16) = Sqrt(25) = 5.


Volume = (1/3)πr² h = (1/3) * 3.14 * 3² * 4 = 0.33 * 113.04 = 37.68.


curved surface area (CSA).
CSA = πrl = 3.14 * 3 * 5 = 47.1.


total surface area (TSA).
TSA = πr(l + r) = 3.14 * 3(5 + 3) = 3.14 * 3(8) = 3.14 * 24 = 75.36.

Answer 2

volume of cone =1/3×πr²h
1212=1××22×24×r²/21
25452=528r²
25452/528=r²
48.20=r²
so,
l²=h²+r
l² =24^2+48.20
l² =576+48.20
l² = 624.20
l =√624.20
l =24.98
so slant hieght=l=24.98 cm
so curved surface area
=πrl
=22×6.94×24.98/7
=544.8 cm ²