To calculate the volume of the cone, the height is still needed. if the cone has a lateral surface with a length of 13 units, what is the height of the cone? (l is the length of the lateral surface; if you know this and the radius, what theorem can you use to find the height? )

The theorem is Pythagoras theorem.

Step-by-step explanation:

Given the cone has a lateral surface with a length of 13 units. To find the volume of cone, the height is needed then we have to tell the theorem which is used to find the height if radius is known.

As the triangle AOB form a right angled triangle and if the slant height i.e l and radius r is known then in order to find height we can apply the Pythagoras theorem which can be stated as

The square of side hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides of the triangle.

⇒

⇒

⇒

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

step-by-step explanation:

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