Find the slant hight of a cone whose surface area is 440 cm^2 and radius is 70 cm. Use pi as 22/7

Slant height = 2cm

Step-by-step explanation:

We are using the formula for surface area of a cone

A = πr ( r + √ h^2 + r^2)

But we are this formula

A = πrl

A - surface area of a cone

π - pie 22/7

r - radius

L - slant height

We are provided with some information

A = 440cm^2

r = 70cm

π = 22/7

Inserting the values

A = πrl

440 = 22/7 * 70 * l

440 = 22 * 70 / 7 * l

440 = 1540 / 7l

Cross multiply

440 * 7 = 1540l

3080 = 1540l

To get l, divide through by 1540

3080/1540 = 1540l/ 1540

3080/1540 = l

2 = l

Slant height = 2cm

The slant height of the cone is 2cm.

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