Question

The value of the surface area of the cylinder is equal to the value of the volume of the cylinder. Find the value of x.

Answer 1

Answer:

$x = 2.5$

Step-by-step explanation:

Surface area of cylinder = 2πr(h + r)

Volume of cylinder = πr²h

Given that S.A = Volume of the cylinder, therefore, we have:

2πr(h + r) = πr²h

Radius (r) is given as 2.5 cm

height (h) = x cm

Input the values and solve for x

2πr(h + r) = πr²h

2πr(h + r) = πr(rh)

2(h + r) = rh (πr cancels πr)

$2(x + 2.5) = 2.5*x$

$2x + 5 = 2.5x$

Subtract 2x from both sides

$2x + 5 - 2x = 2.5x - 2x$

$5 = 0.5x$

Divide both sides by 0.5

$\frac{5}{0.5} = \frac{0.5x}{0.5}$

$2.5 = x$

$x = 2.5$