Question

the volume of a cylinder is 448π cm³ and height 7cm. find its diameter..​

Answer 1

Explanation:

let, cylinder radius r.

volume of the cylinder= πr²h cm³

here, given h= 7cm

then, according to the problem,

πr²h=448π

r²h=448

r²*7=448

r²=448/7

r²=64

r=√64=8

then, radius of the cylinder 8cm.

Answer 2

Given:-

• Volume of cylinder = 448π cm³
• Height of cylinder = 7 cm

To find:-

• Diameter of cylinder.

$\large\bf\underline\blue{SolutioN}$

We know that,

$\large\purple{\underline{{\boxed{\textbf{Volume\:of\: cylinder\:=\:πr²h}}}}}$

In which r is Radius of cylinder and h is height of cylinder.

Put the values in formula,

$↦448π = 22/7 × r² × 7$

$↦448× 22/7 = 22 × r²$

$↦9856/7 = 22 r²$

$↦1408 = 22r²$

$↦1408/22 = r²$

$↦64 = r²$

$↦√64 = r$

$↦ 8 cm = r$

Radius = 8 cm

Diameter = 2 × Radius

= 2 × 8

= 16 cm

Therefore , Diameter is 16 cm.