Math, asked by jaindarshna316, 10 months ago

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

Answers

Answered by sarwarimam5084
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

Answered by wifilethbridge
0

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

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