A cone has a lateral surface area of 62.8 square yards. If the slant height is 2 yards, what is the total surface area of the cone?

Step-by-step explanation:

step 1

Find the radius of the base of the cone

we know that

The lateral surface area of a cone is given by the formula

where

r is the radius of the base

l is the slant height

we have

substitute

assume

step 2

Find the total surface area

we know that

The total surface area is given by

substitute the given values

c

-by-step explanation:

it would be c

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c