All categories

2 years ago

the radius of a cylindrical water tank is 6.5ft, and its height is 16ft what is the volume of the tank?

Mathematics

1 answer:

dimulka [17.4K]2 years ago

4 0

Answer:

Volume of cylindrical tank is 2122.64 cubed feet.

Step-by-step explanation:

It is given that:

Radius of cylindrical tank = 6.5 feet

Height of tank = 16 feet

Volume of tank = πr²h

Putting the values in the formula

Volume = 3.24 * (6.5)² * 16

Volume = 3.14 * 42.45 * 16

Volume = 2122.64 cubed feet.

Therefore,

Volume of cylindrical tank is 2122.64 cubed feet.

You might be interested in

A woman is randomly selected from the 18–24 age group. For women of this group, systolic blood pressures (in mm Hg) are normally

Naddik [55]

Answer:

$X \sim N(114.8,13.1)$

Where $\mu=114.8$ and $\sigma=13.1$

We are interested on this probability

$P(X>140)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

And we can find this probability using the complement rule:

$P(z>1.924)=1-P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(114.8,13.1)$

Where $\mu=114.8$ and $\sigma=13.1$

We are interested on this probability

$P(X>140)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this: $P(X>140)=P(\frac{X-\mu}{\sigma}>\frac{140-\mu}{\sigma})=P(Z>\frac{140- 1114.8}{2.6})=P(z>1.924)$ And we can find this probability using the complement rule:

$P(z>1.924)=1-P(z$

8 0

3 years ago

Here are two polygons on a grid.

NNADVOKAT [17]

Answer:

No.

Step-by-step explanation:

For polygon PQRST to be considered a scaled copy of polygon ABCDE, it means every segments of polygon ABCDE were increased proportionally by a scale factor.

The segments in polygon PQRST were not gotten using the same scale factor, hence, it is not a scaled copy of the original polygon, ABCDE.

Segment CD = 2 units, it corresponds to segment RS = 4 units. Scale factor = RS/CD = 4/2 = 2

Segment BC = 1 unit, it corresponds to segment QR = 1 unit. Scale factor = QR/BC = 1/1 = 1 units.

Varying scale factor shows polygon PQRST is not a scaled copy of polygon ABCDE.

7 0

3 years ago

Help please..................

Ivahew [28]

(f+g)(x) = f(x) + g(x)
(f+g)(x) = [ f(x) ] + [ g(x) ]
(f+g)(x) = [ 3x-2 ] + [ 2x+1 ]
(f+g)(x) = (3x+2x) + (-2+1)
(f+g)(x) = 5x - 1

Answer is choice B

8 0

3 years ago

Please answer correctly !!!!! Will mark brainliest !!!!!!!!

Vesna [10]

Answer:

k(-7) = = -89

Step-by-step explanation:

k(t) = 10t -19

Let t = -7

k(-7) = 10*-7 -19

= -70-19

= -89

7 0

3 years ago

Read 2 more answers

The circumference of a circular tabletop is 226. 08 inches. What is the area, in square inches, of the tabletop? *

Delicious77 [7]

Answer:

40,143.4 square inches

Step-by-step explanation:

c= 226.08

r= 113.04

area = Pi *r^2

3 0

2 years ago

the radius of a cylindrical water tank is 6.5ft, and its height is 16ft what is the volume of the tank?​

the radius of a cylindrical water tank is 6.5ft, and its height is 16ft what is the volume of the tank?