Question

The circumference of the base of a right circular cone is 44√7and its slant height is 28. Find the Volume of the cone​

Answer 1

Answer:

402.450(approx)

Step-by-step explanation:

circumfrance = 2πr = 44√7

44√7= 2× 22/7×r

44√7 ×7 /2×22 = r

r= 7√7

l= √ r2 +h2

28= √ (7√7)2+h2

h= 21

volume of cone= 1/3πr2h

= 1/3×22/7×7√7×21

= 402.450(aprox)

Answer 2

Step-by-step explanation:

circumference=44√7

2πr=44√7

r=(44√7×7)/22×2

r=7√7

h=√L2-r2

h=√(28)2-(7√7)2

h=√784 -343

h=√441

h=21

volume=1/3πr2h

1/3×22/7×(7√7)2×21

22×(343)

22×343

=7546