Question

Hi!

Answer 1

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= $\frac{1029x}{8} \pi \: cm^{3}$