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2 years ago

Find the volume of this cylinder.

Mathematics

2 answers:

irinina [24]2 years ago

7 0

Answer: volume is 1330.5cm3 (1dp)
Explanation:
V=pi x r2 x h
V=pi x 5.5squared x 14
V=1330.46
V= 1330.5cm3

Aleonysh [2.5K]2 years ago

3 0

Cylinder's volume = 1330.5 cm^3

Step-by-step explanation:

radius, r = diameter, d / 2

= 11/2

= 5.5 cm

Volume = π r^2 h

= π × 5.5^2 × 14

= 423.5π

= 1330.5 cm^3

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3 years ago

Work out the volume of the shape

pashok25 [27]

Answer:

$\large\boxed{V=\dfrac{1,421\pi}{3}\ cm^3}$

Step-by-step explanation:

We have the cone and the half-sphere.

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$V_c=\dfrac{1}{3}\pi(7^2)(15)=\dfrac{1}{3}\pi(49)(15)=\dfrac{735\pi}{3}\ cm^3$

The formula of a volume of a sphere:

$V_s=\dfrac{4}{3}\pi R^3$

R - radius

Therefore the formula of a volume of a half-sphere:

$V_{hs}=\dfrac{1}{2}\cdot\dfrac{4}{3}\pi R^3=\dfrac{2}{3}\pi R^3$

We have R = 7cm. Substitute:

$V_{hs}=\dfrac{2}{3}\pi(7^3)=\dfrac{2}{3}\pi(343)=\dfrac{686\pi}{3}\ cm^3$

The volume of the given shape:

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