Question

Hi!

Got a question!

The question is: Find the volume of the shape above(if youre using the app) or below ( if you are using the website ).
Thanks !!​

Answer 1

404.09x cm³ (to 5 s.f.),

where x is the unknown height of the shape.

Explanation:

Volume of the shape

= base area × height

= (large semicircle- small semicircle) × thickness of shape

Area of circle=
`\pi {r}^(2)`

Area of semicircle=
`(1)/(2) (\pi)( {r}^(2) )`

Diameter of small circle= 14

Radius= diameter ÷2

radius= 14 ÷2

radius = 7 cm

Area of small semicircle

`= (1)/(2) (\pi)( {7}^(2) ) \\ = (49)/(2) \pi`

Radius of large semicircle

= 35 ÷2

= 17.5 cm

Area of large semicircle

`= (1)/(2) (\pi)( {17.5}^(2) ) \\ = (1225)/(8) \pi`

Base area of shape

`= (1225)/(8)\pi - (49)/(2) \pi \\ = (1029)/(8) \pi`

Since the height if the shape is not given, I'm afraid I cant help you find the volume.

Let the height of the shape be x cm.

Volume of shape=
`(1029x)/(8) \pi \: cm^(3)`