All categories

2 years ago

I need help with this problem?

Mathematics

1 answer:

Cerrena [4.2K]2 years ago

3 0

Answer:

Step-by-step explanation:

Volume of cylinder:

$\boxed{\text{Volume of cylinder=$\pi r^{2}h$}}$

Bottom cylinder:

1 inch = 2.54 cm

diameter = 14 in

r = 14/2 = 7 in

r = 7 *2.54 = 17.78 cm

h = 4 in = 4*2.54 = 10.16 cm

Volume = 3* 17.78 * 17.78 * 10.16

= 9635.59 in³

Upper cylinder:

diameter = 12 in

r = 12/2 = 6in

r = 6*2.54 = 15.24 cm

h = 12 in = 12*2.54 = 30.48 cm

Volume = 3 * 15.24 *15.24 * 30.48

= 21237.63 in³

Volume of the object = 9635.59 + 21237.63

= 30873 cm³

You might be interested in

You have 16 different cuts of flowers and plan to use seven of them how many different selections of the seven flowers are possi

alisha [4.7K]

We can have 11440 different selections.

SOLUTION: 

Given, you have 16 different cuts of flowers

And you have planned to use seven out of them.

We have to find how many different selections of the seven flowers are possible. Now, we have to select 7 items out of 16 available items. So we have to use combinations.

Then, 7 out of 16 combination $\rightarrow^{16} \mathrm{c}_{7} \rightarrow \frac{16 !}{(16-7) ! 7 !}$

$\bold{\text{ Since } ^nC_r=\frac{n !}{(r !(n-r) !)}}$

$\begin{array}{l}{\rightarrow \frac{16 !}{9 ! \times 7 !}} \\\\ {\rightarrow \frac{16 \times 15 \times 14 \times 13 \times 12 \times 11 \times 10 \times 9 !}{9 ! \times 7 !}} \\\\ {\rightarrow \frac{16 \times 15 \times 14 \times 13 \times 12 \times 11 \times 10}{7 \times 6 \times 13 \times 12 \times 11 \times 10}} \\\\ {\rightarrow \frac{57657600}{5040}} \\\\ {\rightarrow 11440}\end{array}$

Hence, we can have 11440 different selections.

6 0

3 years ago

The times for Erin’s five laps around the track were 56.6 seconds, 57.9 seconds, 57.5 seconds, 65.3 seconds, and 65.7 seconds. U

Dafna1 [17]

Answer:

i think is probably 70 sec or 75

Step-by-step explanation: idk

7 0

3 years ago

Read 2 more answers

Assume that ∠A is an acute angle. If sin A = 0.994, use a calculator to find the measure of ∠A to two decimal places. The mea

Sedbober [7]

Basically, you are looking for the ARC SINE of .994 which is
83.72 Degrees
You could also use an online calculator:
http://www.1728.org/trigcalc.htm

8 0

3 years ago

Passing through the coordinate (10,12) parallel to y=6

erastova [34]

Answer:

y = 12

Step-by-step explanation:

A line parallel to y = 6 is, like y = 6, horizontal. Such a line passing through (10,12) is y = 12.

7 0

3 years ago

A puppeteer is making a triangular hat for a puppet. If two of the three angles of

Burka [1]

Answer:

The triangle is an isosceles triangle and the measure of the third angle is 120°

Step-by-step explanation:

the other nd 2 angles in the triangle both measures 30 degrees, the triangle angle sum theorem states that all the angles in a triangle add up to 180 degrees. Add the first two angles together and subtract it from 180. That's

180 - 60 and it equals 120

5 0

3 years ago