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Each base in this right prism-like figure is a semicircle with a radius of 7 cm.
7 cm
20 cm
What is the volume of the figure?
Give an exact answer in terms of pi.

Each base in this right prismlike figure is a semicircle with a radius of 7 cm 7 cm 20 cm What is the volume of the figure Give an exact answer in terms of pi class=

Respuesta :

Answer:490pi

Step-by-step explanation:just trust me

The volume of the given figure is required.

The required volume is 490π cm³

Volume

r = Radius of semicircle = 7 cm

h = Height of prism = 20 cm

The volume of a cylinder is

[tex]\pi r^2h[/tex]

The volume of the given shape will be half of a cylinder, so

[tex]V=\dfrac{1}{2}\pi r^2h\\\Rightarrow V=\dfrac{1}{2}\pi\times 7^2\times 20\\\Rightarrow V=490\pi\ \text{cm}^3[/tex]

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