Question

A right circular cone has a radius of 7 cm and height of 24 cm. What is the slant height?

• A. 25 cm
• B. 30 cm
• C. 35 cm
• D. 40 cm

Answer 1

Answer:

A. 25 cm

For a right circular cone, the slant height (l) is:

$l=\sqrt{r^2+h^2}$

Given:

$r=7 \text{ cm}, \quad h=24 \text{ cm}$

$l=\sqrt{7^2+24^2}$

$=\sqrt{49+576}$

$=\sqrt{625}$

$=25 \text{ cm}$

Therefore, the slant height is:

$\boxed{25 \text{ cm}}$