a cone of maximum size is carved out from a cube of Edge 28 centimetre find the surface area of - Maths - Surface Areas and Volumes

Question

a cone of maximum size is carved out from a cube of Edge 28
centimetre find the surface area of the cone and remaining solid
left out after the cone is carved out

Tharun Harish · Answer

T S A of a cone is = 2*pie*r(r+l)
d = 28 cm
r = 14 cm
h = 28 cm
therefore, L square = r square + h square
L = root of ( 14 square + 28 square )
= root of ( 196 + 784 )
= root of (980)
= 31 3 cm
volume of cube = a cube = 28*28*28
= 21952 cm cube
VOLUME OF CONE = 1/3 * pie * r *r * h
= 1/3 *22/7* 14*14*28
= 1/3 * 44 * 14 * 28
= 1/3 * 17248
= 5749 3 cm cube
therefore , the solid left out is volume of cube - volume of
cone
= 21952 - 5749 3
the left OUT CUBE = 16202 7 cm cube
HeNcE fOuNd !!!

a cone of maximum size is carved out from a cube of Edge 28 centimetre find the surface area of the cone and remaining solid left out after the cone is carved out