Tamara needs to buy motor oil to fill the 3 empty cylindrical barrels at her oil service center. Each barrel is 7ft deep and has a radius 4ft. What is the volume of oil needed? Use 3.14 for ð.
1055.04
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V = π(r^2)h *3 = ?
radius squared times the height times 3
Thank you.
You're welcome.
Can you explain this further?
(r^2)h*3
i guss your right
i_try to help thank you for helping i appreciate it
To find the volume of the round cake pan, we can use the formula V = πr^2h, where r is the radius and h is the height. The radius is half the diameter, so r = 7/2 = 3.5 inches. Therefore, the volume of the round cake pan is:
V = π(3.5)^2(2) ≈ 77.0 cubic inches
To find the volume of the rectangular cake pan, we can use the formula V = lwh, where l is the length, w is the width, and h is the height. Therefore, the volume of the rectangular cake pan is:
V = (6)(9)(2) = 108 cubic inches
Therefore, the rectangular cake pan has the larger volume.
When baking a cake, you have a choice of the following pans:
a round cake pan that is 2 inches deep and has a 7 inch diameter
a 6 inch × 9 inch rectangular cake pan that is 2 inches deep
Which of these pans has the larger volume? Justify your answer.
Can the numbers 24, 32, 40 be the lengths of the three sides of a right triangle? Explain why or why not.
We need to check if the Pythagorean Theorem holds true for these numbers, since a right triangle must satisfy this theorem.
According to the Pythagorean Theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. That is,
c^2 = a^2 + b^2
where "c" is the length of the hypotenuse, and "a" and "b" are the lengths of the other two sides.
We can test this by considering each of the numbers as the length of the hypotenuse "c", and checking if we can find values for "a" and "b" that satisfy the equation above.
Let's start with "c" = 24:
24^2 = 32^2 + 40^2
576 = 1024 + 1600
576 ≠ 2624
Since the equation above is not true, 24, 32, and 40 cannot be the lengths of the sides of a right triangle.
Therefore, we can conclude that these three numbers cannot be the lengths of the sides of a right triangle.