Question

the radius and the slant height of a cone are in the ratio 7:25 if its curved surface area is 26950 cm2 square find its vertical height

Answer 1

See the attachment.




Hope it helps:)

Answer 2

Answer:

The vertical height of the cone is 168 cm.

Step-by-step explanation:

Let r be the radius and l be the slant height of the cone. Then, we have

$\frac{r}{l}=\frac{7}{25}\\\\r=\frac{7}{25}l......(1)$

Now, curved surface area of a cone is given by

$S=\pi rl\\26950=\frac{22}{7}\frac{7}{25}l\times l\\\\26950=\frac{22}{25}l^2\\\\l^2=30625\\\\l=175\text{ cm}$

From equation (1)

$r=\frac{7}{25}\times175\\\\r=49\text{ cm}$

Therefore, the vertical height h is given by

$h=\sqrt{l^2-r^2}\\\\h=\sqrt{175^2-49^2}\\\\r=\sqrt{28224}\\\\h=168\text{ cm}$