The value of the solid's surface area is equal to the value of the solid's volume. find the value of x. (cylinder with a radius of 2.5 cm and height of x)

The value of x is:

We know that for a cylinder with radius r and height h the volume of the solid is given by:

Also, the surface area of a cylinder is given by:

Now, based on the given question we have:

This means that:

and

Also, we have:

The value of the solid's surface area is equal to the value of the solid's volume.

This means that:

answer:

step-by-step explanation:

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.