All categories

3 years ago

A cylindrical can of soup has a diameter of 7 cm and a height of 10 cm. How much soup is in the can, in terms of π?

Mathematics

2 answers:

Natasha2012 [34]3 years ago

7 0

Answer:

B) 122.5π cm3

Step-by-step explanation:

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

r= radius , but we are given diameter or 7cm, radius = diameter/2 =7/2 = 3.5cm

h= height, given as 10cm

$\pi = constant$

Next, plug in the numbers into the formula;

$=\pi *3.5^{2} *10\\ \\ =\pi *12.25 *10\\ \\ =122.5\pi$

Therefore, the volume of soup in the can is 122.5 $\pi cm^{3}$

Jet001 [13]3 years ago

3 0

Answer:

C) 245π cm3

Step-by-step explanation:

V = π x r^2 x h

V = π(3.5)^2(10)= 122.5π cm^3

You might be interested in

Some body can help me with a geometric mean maze

Mars2501 [29]

Answer:

See explanation

Step-by-step explanation:

Theorem 1: The length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the hypotenuse.

Theorem 2: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.

1. Start point: By the 1st theorem,

$x^2=25\cdot (49-25)=25\cdot 24=5^2\cdot 2^2\cdot 6\Rightarrow x=5\cdot 2\cdot \sqrt{6}=10\sqrt{6}.$

2. South-East point from the Start: By the 2nd theorem,

$x^2=40\cdot (40+5)=4\cdot 5\cdot 2\cdot 9\cdot 5\Rightarrow x=2\cdot 5\cdot 3\cdot \sqrt{2}=30\sqrt{2}.$

3. West point from the previous: By the 2nd theorem,

$x^2=(32-20)\cdot 32=4\cdot 3\cdot 16\cdot 2\Rightarrow x=2\cdot 4\cdot \sqrt{6}=8\sqrt{6}.$

4. West point from the previous: By the 1st theorem,

$9^2=x\cdot 15\Rightarrow x=\dfrac{81}{15}=\dfrac{27}{5}=5.4.$

5. West point from the previous: By the 2nd theorem,

$10^2=8\cdot (8+x)\Rightarrow 8+x=12.5,\ x=4.5.$

6. North point from the previous: By the 1st theorem,

$x^2=48\cdot 6=6\cdot 4\cdot 2\cdot 6\Rightarrow x=6\cdot 2\cdot \sqrt{2}=12\sqrt{2}.$

7. East point from the previous: By the 2nd theorem,

$x^2=22.5\cdot 30=225\cdot 3\Rightarrow x=15\sqrt{3}.$

8. North point from the previous: By the 1st theorem,

$x^2=7.5\cdot 36=270\Rightarrow x=3\sqrt{30}.$

8. West point from the previous: By the 2nd theorem,

$x^2=12.5\cdot (12.5+13.5)=12.5\cdot 26=25\cdot 13\Rightarrow x=5\sqrt{13}.$

9. North point from the previous: By the 1st theorem,

$12^2=x\cdot 30\Rightarrow x=\dfrac{144}{30}=4.8.$

101. East point from the previous: By the 1st theorem,

$6^2=1.6\cdot (x-1.6)\Rightarrow x-1.6=22.5,\ x=24.1.$

11. East point from the previous: By the 2nd theorem,

$20^2=32\cdot (32-x)\Rightarrow 32-x=12.5,\ x=19.5.$

12. South-east point from the previous: By the 2nd theorem,

$18^2=x\cdot 21.6\Rightarrow x=15.$

13. North point=The end.

6 0

3 years ago

Re write the expressoin-21+7

blsea [12.9K]

Answer:

7-21

Step-by-step explanation:

if -a+b

is thesame according to laws of integers as

b-a

6 0

2 years ago

If miley has 200 pencils and Katie has 300 more pencils then how many more does Katie have then miley

Yakvenalex [24]

Answer: 300

Step-by-step explanation: 300+200=500

then 500-200=300

3 0

3 years ago

Read 2 more answers

Find the mean of the number set. 93, 81, 94, 78, 89, 92, 94, 99 Your answer divided by 7

dimaraw [331]

Answer:

mean= 90

Step-by-step explanation:

The mean is the terms added together, then divided by the number of terms (in this case, 8):

$93+81+94+78+89+92+94+99=720\\\\\frac{720}{8} =90$

Done.

7 0

3 years ago

Read 2 more answers

Solve a a-20=b a= plzz help

saveliy_v [14]

In order to have the variable by itself you have to add 20 to both sides. So your answer would be a=b+20. I hope this helps love! :)

7 0

3 years ago