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2 years ago

A cone has a volume of about 28 cubic inches. Which are possible dimensions for the cone?

1 answer:

8 0

The formula for the volume, V of a cone is V = (1/3)*π*(radius)^2 * height.

So, as you see you have two variables, radius and height, which means that there are different combinations of radius and height that lead to the same volume.

That implies that your questions is missing some information.

I searched for it and found that the question has a list of answer choices. This is the list:

a) radius 6 inches, height 3 inches

b) diameter 6 inches, height 3 inches

c) diameter 4 inches, height 6 inches

d) diameter 6 inches, height 6 inches

Now you can probe those options to see which leads to an approximate volume of 28 cubic inches.

a) radius 6 in, height 3 in

=> V = (1/3)*3.14*(6in)^2 * 3in = 113.04 in^3 => not possible

b) diameter 6 in, height 3 inc

diameter 6 in => radius 3 in

=> V = (1/3)*3.14*(3in)^2 * 3in = 28.26 in^3 => this is the answer

The other options lead to values far from 28 in^3.

Answer: diameter 6 inches, height 3 inches.

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6 hours and 24 min

Step-by-step explanation:

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60*8 = 480 miles

<u>Return trip will take:</u>

480/75 = 6.4 hours = 6 hours and 24 min

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2 years ago

Which of the following four items is LEAST like the other three? A, H, I, E

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The item(letter) that is different from the other three is H.
The other letters(A, I, E) are all vowels, while H is not.

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2 years ago

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A parabola is represented by the equation y = x2 + 6x − 17. The x-intercepts of the parabola are____ and_____ . The y-intercept

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Answer:

2.8, 8.8, and -17 respectively.

Step-by-step explanation:

We need to find roots of the equation.

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Jeff had $20. He spent 1/8 of his money on lunch and 2/5 of his money at the movies. How much money does Jeff have left?

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total fraction of his expenses on lunch and movies is:
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2 years ago

Oil leaks out of a tanker at a rate of r=f(t) liters per minute, where t is in minutes. If f(t)=Ae^(−kt), write a definite integ

Slav-nsk [51]

Answer:

The definite integral expressing the total quantity of oil, 'V', which leaks out of the tanker in the first hour is given as follows;

$V = \int\limits^{60}_0 {A \cdot e^{(-k \cdot t)}} \, dt$

Step-by-step explanation:

From the question, we have;

The rate at which oil leaks out of the tanker, r = f(t)

The unit of the oil leak = Liters per minute

The unit of t = Minutes

$If \ f(t) = A \cdot e^{(-k \cdot t )}$

Therefore, we have;

The definite integral expressing the total quantity, 'V', of oil which leaks out of the tanker in the first hour is given as follows;

$V = \int\limits^{60}_0 {A \cdot e^{(-k \cdot t)}} \, dt$

Therefore, we have;

$\int\limits^{60}_0 {A \cdot e^{(-k \cdot t)}} \, dt = \dfrac{A \cdot e ^{60 \cdot k} - A}{k \cdot e ^{60 \cdot k} }$

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2 years ago