Question

how many times do the volume and surface area of cyclinder increase if it radius double d and height remain same​

Answer 1

Solution:-

• The formula for the volume of a cylinder is V = πr²h (that first symbol is "pi" in case you can't tell, it sort of looks like an "n" to me). So r is some value and then we double it, what happens to the volume? Let's say original r = x and doubled r = 2x.

⠀

→ Original value = π(x)²h

→ Original value = πhx²

⠀

☆The new volume after doubling r would be:-

→ π(2x)²h

→ 4πhx²

⠀

Hence,

• the new volume would be 4 times the original volume.

Answer 2

$V = (pi)r2h$

is the formula for the volume of a cylinder.

The formula becomes

$V = (pi)(2r)2h$

if the radius is doubled and the height remains the same.

$V = 4(pi)r2h$

after simplifying.

The volume increases 4 times since the resulting equation is 4 times the original equation.

I'm available for online tutoring if needed.