Question

circumference of base of a cone is 44 cm and vertical height is 24 find slant height​

Answer 1

circumference = 44cm

2πr = 44

22/7 x r = 22

r = 7cm

h = 24cm

l = √(h² + r²)

= √(576 + 49)

= √625 = 25cm : Ans

Hope I helped

Answer 2

Circumference =2πr

Circumference of base of a cone = 44 cm

∴ 2πr = 44cm

$2× \frac{22}{7} \times r = 44cm \\ \frac{44r}{7} = 44cm \\ r = 44cm \times \frac{7}{44} \\ r = 7cm$

l²=r²+h²

l²=(7cm)²+(24cm)²

l²= 49cm²+576cm²

l²=625cm²

l=25cm

Note: r= radius

l= slant height

h= vertical height