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Ksju [112]
3 years ago
14

Can y’all please help me answer these questions

Mathematics
2 answers:
mario62 [17]3 years ago
6 0

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}

nignag [31]3 years ago
4 0

Answer : 4. 12571.429.

5. 4022.857

6. 29.791

7. 96

Step-by-step explanation:

4. FORMULA: PIE R SQUARE TIMES HEIGHT

5. FORMULA: the same as the previous formula

6. FORMULA: LENTH × WIDTH × HEIGHT

7. FORMULA: 1/3 × L × W × H

4. 22/7×10×10×40 = 12571.429

5. 22/7×8×8×20 = 4022.857

6. 3.1 × 3.1 × 3.1 = 29.791

7. 1/3 × 12 × 4 × 6 = 96

HOPE THIS HELPS U

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Answer:

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Given

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Substitute values for a, b, f(x) and g(x)

v = \pi \int\limit^2_0 ((4x - x^2)^2 - (x^2)^2)\ dx

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