Question

Q. Slant height of a right circular cone with radius 6cm and height 8cm is:
(a) 8cm
(b) 9cm
(c) 10cm
(d) 11cm​

Answer 1

Given,

• The radius of the right circular cone = 6 cm
• The height of the right circular cone = 8 cm

To find,

• The slant height of the right circular cone

Solution,

The slant height of the right circular cone with a radius of 6cm and height of 8cm is 10 cm.

We can simply find the slant height of the right circular cone by using the Pythagoras theorem.

                $(H)^2 = (B)^2 +(P)^2$

where H = slant height of the right circular cone

           B = radius of the right circular cone

           P = height of the right circular cone

          $(l)^2 = (r)^2 + (h)^2$

          $(l)^2 = 36 + 64$

           $(l)^2 = 100$

           $l = \sqrt{100}$

           $l = 10$

∴ The slant height of a right circular cone is 10 cm.

Hence, the slant height of the right circular cone with a radius of 6cm and height of 8cm is 10 cm.

Answer 2

If the radius is 6cm, and the height is 8cm… the slant height is 10cm.