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A cylindrical shaped speaker of circumference 44cm is wrapped around by a piece of paper of area 528 sq.cm. Find the volume of the speaker in cubic meters.

Answer 1

Answer:

1848 cm³

Step-by-step explanation:

If 'r' is the radius of the base of cylinder and

'h' the height of the cylinder,

Curved Surface Area of cylinder is given by 2πrh

Volume of the cylinder is given by πr²h

Now, given that circumference of the speaker = 44cm

=> 2πr = 44---(*)

Given , Area of the piece of paper wrapped = 528 sq.cm

=> 2πrh = 528----(**)

From (*) and (**), we get

h = 528/44 = 12 cm.

r = 44/2π = 22/π = 7 cm (approx)

Volume of the speaker = πr²h

= 22/7*7²*12

=1848 cm³.