## FIND THE SLANT HEIGHT OF A CONE WHOSE VERTICAL HEIGHT IS 12CM AND BASE DIAMETER IS 10CM

Question

FIND THE SLANT HEIGHT OF A CONE WHOSE VERTICAL HEIGHT IS 12CM AND BASE DIAMETER IS 10CM

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1 week 2021-09-13T22:10:30+00:00 2 Answers 0

13 cm.

Step-by-step explanation:

The radius of the base, the vertical height and the slant height make a right triangle.

The  vertical height = 12 , the radius = 1/2 * 10 = 5, so:

s^2 = 5^2 + 12^2      where s is the slant height.

x^2 169

13 cm is the height of the cone

The  vertical height = 12 , the radius = 1/2 * 10 = 5, so:

s^2 = 5^2 + 12^2      where s is the slant height.

x^2 169

is the height of the cone

Step-by-step explanation:

Since the base of a cone is a circle, we substitute 2πr for p and πr2 for B where r is the radius of the base of the cylinder. So, the formula for the lateral surface area of a right cone is L. S. A=πrl , where l is the slant height of the cone .

I will give you an example try to understand it

Example) Find the volume of the cone shown. Round to the nearest tenth of a cubic centimeter.

Solution

From the figure, the radius of the cone is 8 cm and the height is 18 cm.

The formula for the volume of a cone is,

V=13πr2h

Substitute 8 for r and 18 for h .

V=13π(8)2(18)

Simplify.

V=13π(64)(18)=384π≈1206.4

Therefore, the volume of the cone is about 1206.4 cubic centimeters.

Note: this is just an example it is not really the answer hope this helps 🙂