To start, the question is asking for surface area of a cylinder, meaning you will have to use this formula to find it: A=2πrh+2πr^2.
Since you already know that the diameter of the plastic cylinder is 4 marbles long, and each marble is 2 cm in diameter, you would multiply 4 and 2 to get that your diameter is 8 cm. However, since the surface area of a cylinder formula uses radius, you would simply divide 8 by 2 to get that the radius of the cylinder is 4 cm.
Now, since you already know that the height of the cylinder is equal to 10 marbles, multiply the amount of marbles by 2 to get that the height of the cylinder is 20 cm.
Now that you know the height and the diameter of the cylinder, plug the values into the formula: A=2π(4)(20)+2π(4)^2.
Assuming that pi is 3.14, simplify the equation as according to PEMDAS and you get that the area of plastic needed to make one cylinder is 602.88 cm squared
First we have to work out everything inside the parentheses (according to PEMDAS):
9 × 2 = 18
4 - 2 = 2
Now, we can rewrite the expression:
4 + 18 ÷ 2 + 1
According to PEMDAS, we should complete the division in the middle first:
18 ÷ 2 = 9
Now we can rewrite the expression again:
4 + 9 + 1
And now it's as simple as just adding the three numbers together:
4 + 9 + 1 = 14
Your final answer is 14. :)
Hello! When dividing fractions, you multiply by the reciprocal of the second fraction. So 2/3 divided by 1/2 would be 2/3 times 2.
As you can see, the first fraction would be the same. Therefore, a will be 4. 5 and 6 will swap, so b will be 6 and c will be 5.
Therefore, our answer is D) a=4, b=6, c=5
I hope this helps!
First, I would multiply the last two fractions because they're smaller and easier to work with:
Now that we've simplified it, we could multiply these terms and simplify. An easier method, however, would be to cancel out any common factors among the numerators and denominators before multiplying:
We can now multiply these terms:
The <span>product of 8/15, 6/5, and 1/3 is B, 16/75.</span>
