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3 years ago

If h = 21 units and r = 7 units, what is the volume of the cone shown above?

Mathematics

2 answers:

Kamila [148]3 years ago

7 0

Answer:

Option B. 1077.02 cubic units

Step-by-step explanation:

As we know the formula of cone is $V = \frac{1}{3}\pi r^{2}h$

In the given question given dimensions are h = 21 units and r = 7 units.

Therefore we can calculate the volume of the cone with the given dimensions.

$V = \frac{1}{3}\pi(7)^{2}(21)$

$V=\frac{1}{3}(3.14)(49)(21)$

V = 3.14×49×7 = 1077.02 cubic unit

So the volume of the given cone is 1077.02 cubic units

salantis [7]3 years ago

3 0

your answer should be D because you have to multiply 3.14 times 21 times 7 to get 461.58

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2. Simplify the expression. (x3)(x7)²<br> 1<br> x18<br> x14<br> x126

lisabon 2012 [21]

Step-by-step explanation:

$= ( {x}^{3} ) { ({x}^{7} )}^{2}$

$= {x}^{3} \times {x}^{7 \times 2}$

$= {x}^{3} \times {x}^{14}$

$= {x}^{3 + 14}$

$= {x}^{17}$

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2 years ago

If x + 10 = 70, what is x?

seropon [69]

Answer:

C. 60

Step-by-step explanation:

x + 10 = 70

Subtract 10 from both sides

x + 10 - 10 = 70 -10

Simplifying

x = 60

7 0

3 years ago

Read 2 more answers

Gregory knows that Triangle A B C is reflected onto Triangle A prime B prime C prime. Which statement about the figures is true?

ziro4ka [17]

Answer: if Gregory draws the segment with endpoints A and A’, then the midpoint will lie on the line of reflection.

Explanation:

Given that a triangle ABC is reflected in triangle A'B'C'

Here reflection is done on a line

If you imagine the line as a mirror then ABC will have image on the mirror line as A'B'C'

Recall that in a mirror the object and image would be equidistant from the mirror and also the line joining the image and object would be perpendicular to the mirror

But note that corresponding images will only be perpendicular bisector to the line

So A and A' only will be corresponding so AA' will have mid point on line

Option 1 is right

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3 years ago

Pre college need help with

kati45 [8]

Answer:

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8 0

2 years ago

The profit in dollars generated by producing and selling n bicycles per week is given by the formula P(n)=−5n2+400n−6000. What i

Julli [10]

Answer:

The minimum number of bicycles that must be produced and sold to break even = 20

Explanation:

The profit generated by producing and selling n bicycles per week is given by the formula:

$P(n)=-5n^2+400n-6000$

To get the minimum number of bicycles that must be produced and sold to break even, let P(n) = 0 (Since break even means no profit is made)

$\begin{gathered} 0=-5n^2+400n-6000 \\ 5n^2-400n+6000=0 \end{gathered}$

Solve the resulting quadratic equation above

$\begin{gathered} 5n^2-300n-100n+6000=0 \\ 5n(n-60)-100(n-60)=0 \\ (5n-100)(n-60)=0 \\ 5n-100=0 \\ 5n=100 \\ n=\frac{100}{5} \\ n=20 \\ n-60=0 \\ n=60 \end{gathered}$

This means that, to break even, either 60 or 20 bicycles must be produced and sold

The minimum number of bicycles that must be produced and sold to break even = 20

4 0

1 year ago