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3 years ago

What is the volume of the cylinder below? Use 3.14 for pi and I round to the nearest tenth

Mathematics

1 answer:

Rainbow [258]3 years ago

6 0

Answer:

Option (4).

Step-by-step explanation:

Formula to calculate the volume of a cylinder is,

V = πr²h

Here r = radius of the cylinder

h = Height of the cylinder

From the figure attached,

r = $\frac{13}{2}=6.5$ cm

h = 11 cm

Now we substitute the values of h and r in the formula,

V = π(6.5)²(11)

= 464.75π

= 1459.32

≈ 1459.3 cm³

Therefore, volume of the given cylinder is 1459.3 cm³

Option (4) will be the answer.

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2 years ago

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Step-by-step explanation:

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the number of seeds that are treated which are observed = 5

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∴

$p(4) = \dfrac{(^5_4)(^{5}_{0})}{(^{10}_4)}$

$p(4) = \dfrac{\dfrac{5!}{4!(5-4)!}* \dfrac{5!}{0!(5-0)!} }{\dfrac{10!}{4!(10-4)!} }$

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3 years ago

Which is the inverse of the function f(x) = x2 − 4?

Rudiy27

The function is not one-to-one function, hence the inverse doesn't exist for the whole domain of the function. But if we restrict the domain to $x\in(-\infty,0]$ or $x\in[0,\infty)$ , then we can give the inverse.

$f(x)=x^2-4\\\\y=x^2-4\\\\x^2=y+4\\\\x=\sqrt{y+4} \vee x=-\sqrt{y+4}\\\\f^{-1}(x)=\sqrt{x+4}\vee f^{-1}(x)=-\sqrt{x+4}$

So, when $D_{f(x)}:x\in(-\infty,0]$ , the inverse is $f^{-1}(x)=-\sqrt{x+4}$ and when $D_{f(x)}:x\in[0,\infty)$ , the inverse is $f^{-1}(x)=\sqrt{x+4}$ .

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3 years ago