Mathematics: 50 Points to the person who helps me and Brainliest

A.14581 .2 x 3= 62 .6 x 3=183. 18 x 3=544. 54 x 3=1625. 162 x 3= 4866. 486 x 3=14587. 1458 x 3= 4374...

50 Points to the person who helps me and Brainliest

ryanbransky

03.02.2022

$h\approx9.54\text{ cm}$

Step-by-step explanation:

First, we know that the slant height is 10 cm and the diameter is 6 cm.

Since our diameter is 6 cm, our radius is just half of that. Namely:

$r=\frac{1}{2}(6)=3$

To find the vertical height, we can use some geometry.

If we look closely, we can see that the vertical height, slant height, and the radius form a right triangle.

So, to find the vertical height, we can use the Pythagorean Theorem:

a^2+b^2=c^2

In this case, c, our hypotenuse, is our slant height.

So, let's substitute 3 for a, h for b, and 10 for c. This yields:

3^2+h^2=10^2

Square:

9+h^2=100

Subtract 9 from both sides:

h^2=91

Take the square root of both sides:

$h=\sqrt{91}$

Approximate. Use a calculator. So:

$h\approx9.54\text{ cm}$

And we're done!

Edit: Added Unit

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