If the surface area of a cylinder is 288 picm2 with radius of 8 cm, what is the volume of the cylinder? (in terms of m) A)
320pi cm3
B)
640pi cm3
9.
720pi cm?
D)
980pi cm3
help me pls hurry thanku

The volume of the cylinder is 640π cm³

Step-by-step explanation:

The formula of the surface area of a cylinder is SA = 2πrh + 2πr², where r is the radius of its base and h is its height

The formula of the volume of a cylinder is V = πr²h

Let us use the formula of the surface area to find the height of the cylinder, then use the formula of the volume to find its volume

∵ The surface area of a cylinder is 288π cm²

∵ Its radius is 8 cm

∵ SA = 2πrh + 2πr²

- Substitute the SA by 288π and r by 8 in the formula

∴ 288π = 2π(8)h + 2π(8)²

∴ 288π = 16πh + 128π

- Subtract 128π from both sides

∴ 160π = 16πh

- Divide both sides by 16π

∴ 10 = h

∴ The height of the cylinder is 10 cm

Now let us find the volume of the cylinder

∵ V = πr²h

- Substitute r by 8 and h by 10

∴ V = π(8)²(10)

∴ V = π(64)(10)

∴ V = 640π

The volume of the cylinder is 640π cm³

No, not really.

Step-by-step explanation: See, is an online website meant for questions. Then, different users will answer your questions and you can thank them for giving you the correct answer. OR you can mark them Brainliest, which lots of people are looking for.