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MAVERICK [17]
3 years ago
10

A cylinder has a radius of 14 m and a height of 6 m. What is the exact volume of the cylinder? 84π m³ 168π m³ 504π m³ 1176π m³

Mathematics
2 answers:
murzikaleks [220]3 years ago
4 0

Answer:

1176π m³

Step-by-step explanation:

The formula for the volume of a cylinder is:

V = πr²h

Let's substitute the values given into this equation:

V = πr²h

V = (π)(14²)(6)

Solve:

V = (π)(14²)(6)

V = (π)(196)(6)

V = 1,176π

Therefore, the volume of the cylinder is 1176π cubic meters.

Mkey [24]3 years ago
4 0

Answer:

1176

Step-by-step explanation:

r (radius) = 14 m

h (height) = 6 m

v (volume) = ?

Formula: V=πr2h

We are looking for the volume of the cylinder. We know that the Radius is 14 and the height is 6.

So we need to

1: Radius * 14 * 6

2: Radius * 196* 6

Answer: 1176

<em><u>Hope this helps.</u></em>

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Which is the simplified form of the expression ((2 Superscript negative 2 Baseline) (3 Superscript 4 Baseline)) Superscript nega
AlekseyPX

Answer:

The option "StartFraction 1 Over 3 Superscript 8" is correct

That is \frac{1}{3^8} is correct answer

Therefore [(2^{-2})(3^4)]^{-3}\times [(2^{-3})(3^2)]^2=\frac{1}{3^8}

Step-by-step explanation:

Given expression is ((2 Superscript negative 2 Baseline) (3 Superscript 4 Baseline)) Superscript negative 3 Baseline times ((2 Superscript negative 3 Baseline) (3 squared)) squared

The given expression can be written as

[(2^{-2})(3^4)]^{-3}\times [(2^{-3})(3^2)]^2

To find the simplified form of the given expression :

[(2^{-2})(3^4)]^{-3}\times [(2^{-3})(3^2)]^2

=(2^{-2})^{-3}(3^4)^{-3}\times (2^{-3})^2(3^2)^2 ( using the property (ab)^m=a^m.b^m )

=(2^6)(3^{-12})\times (2^{-6})(3^4) ( using the property (a^m)^n=a^{mn}

=(2^6)(2^{-6})(3^{-12})(3^4) ( combining the like powers )

=2^{6-6}3^{-12+4} ( using the property a^m.a^n=a^{m+n} )

=2^03^{-8}

=\frac{1}{3^8} ( using the property a^{-m}=\frac{1}{a^m} )

Therefore [(2^{-2})(3^4)]^{-3}\times [(2^{-3})(3^2)]^2=\frac{1}{3^8}

Therefore option "StartFraction 1 Over 3 Superscript 8" is correct

That is \frac{1}{3^8} is correct answer

6 0
4 years ago
Read 2 more answers
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