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The volume of a paint can is 215 in. If the height of the cam is 7.5 in, what is the radius to the nearest whole number?

Respuesta :

musiclover10045

formula for volume = V=PI x r^2 x H so replace letters with known values and work the problem out

215 in.^3 = 3.14 x r^2 x 7.5


215/(7.5x3.14) =  r^2/(7.5 x 3.14)


r^2 = (215/7.5x3.14) 

r^2 = 9.1295

Now, taking the square root of both sides, we get:

sqrt(r^2) = r

 sqrt(9.1295) = 3.021 

 r = 3 inches


mreijepatmat
Volume of a cylinder (can) = π.R².H
215 in³ = π(R²).(7.5). Divide both parts by (7.5)(π)
215/[(7.5)(π)] = R²

R² = 9.124
R = √9.124
R = 3.02
R ≈ 3 in
good job