Question

- The radius of a cone is 10 cm and the total surface area
of a cone is 880 cm2. Find the slant height.​

Answer 1

Step-by-step explanation:

Param accounts are given circular disc of radius 7 cm into two equal parts what is the perimeter of semicircle shape disc

Answer 2

The slant height is 17.99 cm

Step-by-step explanation:

Radius of cone = 10 cm

Total surface area of cone =$\pi r \sqrt{h^2 +r^2}+\pi r^2 = \frac{22}{7} \times 10 \times \sqrt{h^2+10^2}+\frac{22}{7} \times 10^2$

We are given that  the total surface area  of a cone is 880 sq.cm.

So,$\frac{22}{7} \times 10 \times \sqrt{h^2+10^2}+\frac{22}{7} \times 10^2=880$

$\frac{22}{7} \times 10(\sqrt{h^2+10^2}+10)=880$

$(\sqrt{h^2+10^2}+10)=\frac{880}{\frac{22}{7} \times 10}$

$(\sqrt{h^2+10^2}+10)=28$

$\sqrt{h^2+10^2}=28-10$

$\sqrt{h^2+10^2}=18$

$h^2+100=18^2$

$h^2=18^2-100$

$h=\sqrt{18^2-100}$

h=14.96

Slant height = $l=\sqrt{h^2+r^2}=\sqrt{14.96^2+10^2}=17.99 cm$

Hence The slant height is 17.99 cm

#Learn more:

Curved surface area of a cone is 308 cm2 and its slant height is 14 cm. Find (i) radius of the base and (ii) total surface area of the cone.

https://brainly.in/question/888658