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hjlf
3 years ago
9

Hi!

Mathematics
1 answer:
Elina [12.6K]3 years ago
3 0

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= \pi {r}^{2}

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

Diameter of small circle= 14

Radius= diameter ÷2

radius= 14 ÷2

radius = 7 cm

Area of small semicircle

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

Radius of large semicircle

= 35 ÷2

= 17.5 cm

Area of large semicircle

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

Base area of shape

= \frac{1225}{8}\pi  -  \frac{49}{2} \pi \\  =  \frac{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= \frac{1029x}{8} \pi \: cm^{3}

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