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3 years ago

What is the exact volume of the cone in terms of pi?

Mathematics

1 answer:

kenny6666 [7]3 years ago

7 0

Answer:

D) 3456 m

Step-by-step explanation:

Diameter of the cone = 48 m

Hence radius of the cone = $\frac{48}{2}$ = 24 m

Height of the cone = 18 m

Volume of a cone is given as $\[\frac{1}{3}*pi*radius^{2}*height\]
$

= $\[\frac{1}{3}*pi*24^{2}*18\]
$

= $\[\frac{1}{3}*pi*10368\]
$

= $\[pi*3456\]
$

Hence among the given options, option D is the correct one.

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Is 0.44 rational or irrational

ArbitrLikvidat [17]

0.44 rational

/0.4 irrational

/0.44 irrational

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3 years ago

Read 2 more answers

What is the value of t=1 ∑³ (4 x 1/2^t-1)

Stels [109]

Answer:

Step-by-step explanation:

$\sum\limits_{t=1}^{3}(4\cdot(\frac{1}{2})^{t-1})$

This is the sum of the first three terms of a geometric sequence, where the first term is 4 and the common ratio is ½.

We can use a formula to find the sum, or, since there's only three terms, we can find the value of each term then add up the results.

4 · (½)¹⁻¹ = 4

4 · (½)²⁻¹ = 2

4 · (½)³⁻¹ = 1

4 + 2 + 1 = 7

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3 years ago

Find the following:

Butoxors [25]

Answer:

Step-by-step explanation:

Limit refers to the value that the function approaches as the input approaches some value.

We say $\displaystyle \lim_{x\rightarrow a}f(x)=L$ , if f(x) approaches L as x approaches 'a'.

(a)

$\displaystyle \lim_{x\rightarrow 5}\left ( \frac{f(x)-8}{x-5} \right )=4\\\frac{\displaystyle \lim_{x\rightarrow 5}f(x)-\displaystyle \lim_{x\rightarrow 5}8}{\displaystyle \lim_{x\rightarrow 5}x-\displaystyle \lim_{x\rightarrow 5}5}=4\\$

$\frac{\displaystyle \lim_{x\rightarrow 5}f(x)-8}{\displaystyle \lim_{x\rightarrow 5}x-5}=4\\\displaystyle \lim_{x\rightarrow 5}f(x)-8=4\left ( \displaystyle \lim_{x\rightarrow 5}x-5 \right )\\\displaystyle \lim_{x\rightarrow 5}f(x)-8=4\displaystyle \lim_{x\rightarrow 5}x-4(5)\\\displaystyle \lim_{x\rightarrow 5}f(x)-8=4(5)-4(5)\\$

$\displaystyle \lim_{x\rightarrow 5}f(x)-8=20-20=0\\\displaystyle \lim_{x\rightarrow 5}f(x)=8$

(b)

$\displaystyle \lim_{x\rightarrow 5}\left ( \frac{f(x)-8}{x-5} \right )=7\\\frac{\displaystyle \lim_{x\rightarrow 5}f(x)-\displaystyle \lim_{x\rightarrow 5}8}{\displaystyle \lim_{x\rightarrow 5}x-\displaystyle \lim_{x\rightarrow 5}5}=7\\\frac{\displaystyle \lim_{x\rightarrow 5}f(x)-8}{\displaystyle \lim_{x\rightarrow 5}x-5}=7\\$

$\displaystyle \lim_{x\rightarrow 5}f(x)-8=7\left ( \displaystyle \lim_{x\rightarrow 5}x-5 \right )\\\displaystyle \lim_{x\rightarrow 5}f(x)-8=7\displaystyle \lim_{x\rightarrow 5}x-7(5)\\\displaystyle \lim_{x\rightarrow 5}f(x)-8=7(5)-7(5)\\\displaystyle \lim_{x\rightarrow 5}f(x)-8=35-35=0\\\displaystyle \lim_{x\rightarrow 5}f(x)=8$

3 0

3 years ago

L= 3x+5 and width is x-3 what is the area of it? in polynomial in standard form

Studentka2010 [4]

Area of rectangle =wxl
A=(3x+5)(x-3)
A=3x^2+5x-15-9x
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7 0

3 years ago

Which expression uses the associative property to make it easier to evaluate? (50points)

Naily [24]

The correct answer is option 4: $(8.\frac{1}{4}).\frac{3}{5}$

Step-by-step explanation:

Given expression is:

$8.(\frac{1}{4}.\frac{3}{5})$

The associative property states that for any three terms that are being multiplied, different order of multiplication (i.e. which two terms are multiplied first) will give the same answer.

Let a,b and c be the three terms

then

$a.(b.c) = (a.b).c$

So applying the associative property on given expression

$8.(\frac{1}{4}.\frac{3}{5}) = (8.\frac{1}{4}).\frac{3}{5}$

Hence,

The correct answer is option 4: $(8.\frac{1}{4}).\frac{3}{5}$

Keywords: Associative property, Properties

Learn more about associative property at:

#learnwithBrainly

5 0

3 years ago