Question

Question from mensuration.
 A piece of paper is
in the shape of a sector of a circle whose radius is 12cm and the central angle
of the sector is 120 degree it is rolled to form a cone of the biggest
possible capacity .Find the capacity of the cone.

Answer 1

Lateral or slanting height of cone L
       = radius of the circle from which the sector is cut 
  L   = 12 cm

Arc length of the 120° sector = 2π * radius * 120°/360° = 8 π cm

Circumference of the base circle of cone = arc length = 8π cm = 2 π R
  So,   R  = radius of the circle of base of cone = 4 cm

      Area of base of cone = πR² = 16 π cm²

    Altitude or Height of cone = H = √(L² - R²) = √(12² - 4²) = √128 = 8√2 cm

Volume or capacity of Cone  =  1/3 * base area *  Altitude 
                  = 1/3 * 16 π * 8 √2 = 128√2π / 3 cm³

Answer 2

Answer:

10pi/13

Step-by-step explanation:

this is your answer thank me