Question

The height and the radius of the base of a cone are 12cm and 5cm respectively.

Then the slant height of the cone is

A. 12 cm B. 10 cm

C. 13 cm D. 8 cm​

Answer 1

Answer:

c)13

Step-by-step explanation:

letting the slant height of the triangle be L and the height and radius of the base be h and r respectively.

then,l² = h² + r²

= l² => 12² + 5²

= 144 + 25

l = √169

l = 13

Answer 2

Answer:

C. 13 cm

Step-by-step explanation:

Given :

• Height (h) = 12 cm
• Radius (r) = 5 cm

To find :

• Slant height of cone (l)

Solution :

Height, Radius and Slant height of cone are related as:

=> l² = √r² + h²

=> l² = √12² + 5²

=> l² = √144 + 25

=> l = √169

=> l = 13 cm

• Hence, the slant height of cone is 13 cm.