Question

If height and slant of the cone are 8cm and 10cm respectively then find the radius of cone

Answer 1

Answer:

6 cm

Step-by-step explanation:

Slant height^2=height^2+radius^2

l^2=h^2+r^2

10^2=8^2+r^2

r^2=100-64

r^2=36 cm^2

r=6cm

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Answer 2

Hello there!

The height and the slant height of the cone will form a right angle triangle. See the picture.

Imagine the height as one leg of the triangle, and the slant as the hypotenuse of the triangle.

Now, you can use Pythagoreas theorem to get the radius, which is the second leg.

$a^{2} + b^{2} = c^{2}$

Here,

• $a$ is height
• $b$ is radius
• $c$ is slant height

$8^{2} + b^{2} = 10^{2}$

$64 + b^{2} = 100$

$b^{2} = 100 - 64$

$b^{2} = 36$

$b = 6$

Therefore, the radius of the cone is 6cm.

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