Answer:
404.09x cm³ (to 5 s.f.),
where x is the unknown height of the shape.
Step-by-step explanation:
Volume of the shape
= base area × height
= (large semicircle- small semicircle) × thickness of shape
Area of circle= [tex]\pi {r}^{2} [/tex]
Area of semicircle= [tex] \frac{1}{2} (\pi)( {r}^{2} )[/tex]
Diameter of small circle= 14
Radius= diameter ÷2
radius= 14 ÷2
radius = 7 cm
Area of small semicircle
[tex] = \frac{1}{2} (\pi)( {7}^{2} ) \\ = \frac{49}{2} \pi[/tex]
Radius of large semicircle
= 35 ÷2
= 17.5 cm
Area of large semicircle
[tex] = \frac{1}{2} (\pi)( {17.5}^{2} ) \\ = \frac{1225}{8} \pi[/tex]
Base area of shape
[tex] = \frac{1225}{8}\pi - \frac{49}{2} \pi \\ = \frac{1029}{8} \pi[/tex]
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= [tex] \frac{1029x}{8} \pi \: cm^{3} [/tex]
