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Alecsey [184]
3 years ago
8

How do i solve this problem

Mathematics
1 answer:
Lorico [155]3 years ago
5 0
9.10075 x 10^{7}
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Step-by-step explanation:

4.

⇒ V = \pi r^{2}h

⇒ V = \pi(10)^{2}(40)

⇒ V = 4000\pi

⇒ V = 12566.4cm^{3}

5.

⇒ V = \frac{1}{3}\pi r^{2}h

⇒ V = \frac{1}{3}\pi (8)^{2}(h)

As we know the radius and slant height, we can use Pythagoras' Theorem to find the perpendicular height.

⇒ a^{2} + b^{2} = c^{2}

⇒ (8)^{2} + h^{2} = 20^{2}

⇒ h = \sqrt{20^{2} - 8^{2}}

⇒ h = 4\sqrt{21}

Now substitute this into the volume formula.

⇒ V = \frac{1}{3}\pi (8)^{2}(4\sqrt{21})

⇒ V = \frac{256\sqrt{21} }{3}\pi

⇒ V = 1228.5mm^{3}

6.

⇒ V = l^{3}

⇒ V = (3.1)^{3}

⇒ V = 29.8inches^{3}

7.

⇒ V = \frac{1}{3}lwh

⇒ V = \frac{1}{3}(12)(4)(6)

⇒ V = 96inches^{3}

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