All categories

2 years ago

What is the volume of the cone in terms of π ?

Mathematics

1 answer:

Scilla [17]2 years ago

6 0

$v = \frac{1}{3} \times \pi \times {r}^{2} \times height \\$

$v = \frac{1}{3} \times \pi \times {2}^{2} \times 6 \\$

$v = \frac{24}{3} \pi \\$

$v = 8\pi \: \: \: {in}^{3}$

You might be interested in

mary is making pillows for her life skills class.she brought 2 1/2 yards of fabric her total cost was $15.what was the cost per

shepuryov [24]

$15 divide by 2.5=

answer is $6/yard

3 0

3 years ago

Please show your work

Paladinen [302]

Answer:

see in the picture, the perimeter of this rectangle is

2( x + 3x) = 8x but the perimeter is 65.6

=> 8x = 65.6

<=> x = 65.6/8

=> x = 8.2

7 0

3 years ago

In the xy-plane, the equations x + 2 = 10 y and 3 +6 = x y c represent the same line for some constant c. What is the value of c

aalyn [17]

Answer:

C=30

Step-by-step explanation:

Supposing that we have the lines

x+2=10y

and

3x+6=Yc.

Note that dividing by 3 the second line can be rewritten as

x + 2= Y c/3.

Remember that a line is written as $ax+b=dY$ , in our case, both lines have $a=1$ and $b=2$ . Therefore, in orther that the two lines are equal, we need that $10=c/3$ , hence $c=30.$

3 0

3 years ago

A business rents cars for $100 a day and vans for $200 a day. One day, it rented a total of 22 vehicles

ra1l [238]

Answer:

Vans - 7

Cars - 15

Step-by-step explanation:

$200 * 7 = $1400

$100 * 15 = $1500

$1400 + $1500 = $2900

8 0

2 years ago

Find the distance and midpoint of a segment with the following endpoints: (5,-1) and (-9,-1)

Likurg_2 [28]

Answer:

$d = 14$

$(-2,-1)$

General Formulas and Concepts:

Order of Operations: BPEMDAS
Distance Formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
Midpoint Formula: $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Step-by-step explanation:

Step 1: Define

(5, -1)

(-9, -1)

Step 2: Find distance d

Substitute: $d = \sqrt{(-9-5)^2+(-1-(-1))^2}$
Simplify: $d = \sqrt{(-9-5)^2+(-1+1)^2}$
Subtract/Add: $d = \sqrt{(-14)^2+(0)^2}$
Evaluate: $d = \sqrt{196}$
Evaluate: $d = \14$

Step 3: Find Midpoint

Substitute: $(\frac{5-9}{2},\frac{-1-1}{2})$
Subtract: $(\frac{-4}{2},\frac{-2}{2})$
Divide: $(-2,-1)$

7 0

3 years ago

What is the volume of the cone in terms of ​π ?

What is the volume of the cone in terms of π ?