Problema Solution
a can of beans has a surface area of 381 cm squared. its height is 15 cm. what is the radius of the circular top?
Answer provided by our tutors
we will assume that the can has a shape of a cylinder
let r = the radius of the circular top (the radius of the base of the cylinder)
h = 15 cm is the height of the cylinder
pi = 3.14 is a constant
the formula for the area of the cylinder is A = 2*(r^2)*pi + 2*r*pi*h
2*(r^2)*pi + 2*r*pi*h = 381
2*(r^2)*3.14 + 2*r*3.14*15 = 381
by solving the quadratic equation we find and consider the positive roots (the radius can not be negative number)
r = 3.31 cm
click here to see the step by step solution of the quadratic equation
the radius of the circular top is 3.31 cm.