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

300% at 5% annual interest for 7 years. Find the simple interest earned account

mafiozo [28]

Simple interest is <span>$105.00, 300 x .05 = 15, x 7 = 105

</span>

3 0

3 years ago

The digit in the tens placeof a two digit is three times that in the units place. if the digits are reversed , the new no will b

Charra [1.4K]

If a number's ten digit is $x$ and the units digit is $y$ , then you can write the number as $10x+y$ .

Obviously, inverting the digits would lead to the number $10y+x$ .

Since this new number is 36 less than the original, we have

$10y+x = 10x+y-36 \iff 9x-9y=36\iff x-y=4$

Since we also know that the digit in the tens place is three times that in the units place, we can add an equation to form a system:

$\begin{cases}x-y=4\\x=3y\end{cases}\iff 3y-y=4\iff y=2$

And thus $x=2\cdot 3=6$

6 0

3 years ago

Four expressions are shown below:

marusya05 [52]

It’s the first one and the third one

6 0

3 years ago

Read 2 more answers

A land surveyor places two stakes 500 ft apart and creates a perpendicular to the line that connects these two stakes. He needs

cupoosta [38]

Answer:
We will choose the last option is correct.
Step-by-step explanation:
A land surveyor places two stakes 500 ft apart and locates the midpoint between the stakes.
From the midpoint, he needs to place another stake 100 ft away that is equidistant to the two original stakes.
Therefore, to apply the Perpendicular Bisector Theorem, the land surveyor would have to identify a line that is "perpendicular to the line connecting the two stakes and going through the midpoint of the two stakes".
Therefore we will choose the last option is correct. (Answer)

8 0

3 years ago

Read 2 more answers

Find the real solutions of the equation by graphing. x2 + 2x + 2 = 0

Natalija [7]

Answer:

There is no real solution

Step-by-step explanation:

∵ x² + 2x + 2 = 0

From the graph there is no intersection between the parabola and

the x-axis

∴ There is no real solution