Find the total surface area of a right circular cone with radius 6 cm

1.	Find the total surface area of a right circular cone with radius 6 cm and height 8 cm.
Answer» We have, Radius of right circular cone (r) = 6 Height of cone ( h) = 8 cm ∴ slant height (l) = \(\sqrt{r^2+h^2}\) = l = \(\sqrt{36+64}\) = 10 cm Total surface area of cone = πr²+ πrl= πr(r+l) = \(\frac{22}{7}\) × 6 × 16 cm² = 301.71 cm²

Find the total surface area of a right circular cone with radius 6 cm and height 8 cm.

Answer»

We have,

Radius of right circular cone (r) = 6

Height of cone ( h) = 8 cm

∴ slant height (l) = \(\sqrt{r^2+h^2}\)

= l = \(\sqrt{36+64}\)

= 10 cm

Total surface area of cone = πr²+ πrl= πr(r+l)

= \(\frac{22}{7}\) × 6 × 16 cm²

= 301.71 cm²