Question

the circumference of the base of a 9 m high wooden solid cone is 44 m.the slant height of the cone is .? ans is √130m need solution

Answer 1

circumference of base of cone means circumference of the circle
: . circumference of the circle = 2πr
44 = 2 × 22÷7 × r
44× 7 ÷ 2 × 22 = r
308 ÷ 44 = r
7 = r
: . [r = 7]
Now,
for slant height = l
$l^{2} = r^{2} + h^{2}$
$\: \: \: = 7^{2} + 9^{2}$

= 49 + 81

$l^{2} = 130$
By Taking Square Root

$l = \sqrt{130}$

THIS IS THE SOLUTION