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3 years ago

What is the volume, in cubic feet, of the cylinder below? 6 ft 8 ft

Mathematics

1 answer:

aksik [14]3 years ago

5 0

Answer:

226.1946711 cubic ft

Step-by-step explanation:

volume of cylinder = πr²h

diameter (d)=6ft

r= d/2 = 6/2=3ft

h= 8ft

putting all values in the formula and calculating the volume

You might be interested in

Find two positive consecutive odd integers such that square of the smaller integer is 10 more than the larger integer

Otrada [13]

Let $2n+1$ be the smaller integer. The larger integer is then $2n+3$ , and we have

$(2n+1)^2=10+(2n+3)\implies4n^2+4n+1=2n+13$

$\implies4n^2+2n-12=0$

$\implies2n^2+n-6=0$

$\implies(2n-3)(n+2)=0$

$\implies 2n-3=0\text{ or }n+2=0$

$\implies n=\dfrac32\text{ or }n=-2$

We omit $n=-2$ , since $2(-2)+1=-3$ is negative.

Then for $n=\dfrac32$ we find $2\left(\dfrac32\right)+1=4$ , but this is not odd.

There are no consecutive odd integers that satisfy the given condition!

3 0

3 years ago

What is the area of a triangle with vertices (1,0) (5,0) (3,4)

Aleksandr-060686 [28]

Answer:

The area of the triangle is of 8 units of area.

Step-by-step explanation:

Answer:

The area of the triangle is of 21 units of area.

Step-by-step explanation:

The area of a triangle with three vertices $(x_1,y_1),(x_2,y_2),(x_3,y_3)$ is given by the determinant of the following matrix:

$A = \pm 0.5 \left|\begin{array}{ccc}x_1&y_1&1\\x_2&y_2&1\\1_3&y_3&1\end{array}\right|$

In this question:

Vertices (1,0) (5,0) (3,4). So

$A = \pm 0.5 \left|\begin{array}{ccc}1&0&1\\5&0&1\\3&4&1\end{array}\right|$

$A = \pm 0.5(1*0*1+0*1*3+1*5*4-1*0*3-0*5*1-1*1*4)$

$A = \pm 0.5*(20-4)$

$A = \pm 0.5*16 = 8$

The area of the triangle is of 8 units of area.

3 0

3 years ago

What is the value of f-1(4)

scZoUnD [109]

Answer:

x=4 hope that helps I did it on my calculator story if it is wrong

5 0

3 years ago

kevin has a yearly income of $68,280. His total state and federal income tax for the year is $12,048. What is his monthly net in

il63 [147K]

56,232 there you go you should try this one i did it like this

-68,280
12,048

56232

7 0

3 years ago

If (4x−7)2=ax2+bx+c for all values of x, what is the value of c(b+a)?

ollegr [7]

Answer:

-1960

Step-by-step explanation:

The expression on the left expands to ...

(4x -7)² = (4x)² +2(4x)(-7) +(-7)² = 16x² -56x +49

Matching coefficients, you have ...

a = 16
b = -56
c = 49

Then the expression c(b+a) evaluates to ...

49(-56+16) = 49(-40) = -1960

8 0

3 years ago