The surface area of a cone is 175 square units. The radius of the base is 5 units. What is the slant height of the cone?

Slant height is 6.15in

Step-by-step explanation:

Surface area of a come is expressed as πr²+πrl

r is the base radius of the cone

l is the slant height

Given surface area = 175in²

radius = 5in

l = ?

Substituting the given values in the formula to get l we have:

175 = 5²π+5πl

175 = 25π+5πl

175 = 25 (3.14) + 15.7l

175 = 78.5 + 15.7l

15.7l = 175-78.5

15.7l = 96.5

l = 96.5/15.7

l = 6.15in