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djverab [1.8K]
2 years ago
5

What is the exact volume of the cone

Mathematics
1 answer:
Travka [436]2 years ago
5 0

Answer:

V = \frac{400}{3}\pi

Step-by-step explanation:

Volume of a cone is:

V = \pi r^{2} \frac{h}{3}

Substitute values given:

V = \pi (5^{2} )(\frac{16}{3})

V = \pi (25)(\frac{16}{3} )

V = \pi \frac{400}{3}

V = \frac{400}{3}\pi

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3 years ago
Select the simplification that accurately explains the following statement.
lutik1710 [3]

Answer:

Option (b) is correct.

(2^\frac{1}{4} )^4=2^\frac{1}{4} \times 2^\frac{1}{4}\times 2^\frac{1}{4}\times 2^\frac{1}{4}=2^{(\frac{1}{4}+ \frac{1}{4}+ \frac{1}{4}+ \frac{1}{4} )}=2^{1}=2

Step-by-step explanation:

Given: (2^\frac{1}{4} )^4

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We have,

(2^\frac{1}{4} )^4=2^\frac{1}{4} \times 2^\frac{1}{4}\times 2^\frac{1}{4}\times 2^\frac{1}{4}

Again applying property of exponents  a^m\times a^m=a^{n+m}

We have,

(2^\frac{1}{4} )^4=2^{(\frac{1}{4}+ \frac{1}{4}+ \frac{1}{4}+ \frac{1}{4} )}

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(2^\frac{1}{4} )^4=2^{\frac{4}{4}}

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(2^\frac{1}{4} )^4=2^{1}=2

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Option (b) is correct.

   

8 0
3 years ago
Read 2 more answers
What is the value of 6/x + 2x2, when x = 3?
aliina [53]
Replace x = 3 into <span>6/x + 2x^2

</span>6/x + 2x^2

=6/3 + 2 (3)^2
= 2 + 2(9)
= 2 + 18
= 20
3 0
3 years ago
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