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3 years ago

The top of a cylinder is sliced off by a plane. Determine volume of the bottom portion of the cylinder.

Mathematics

1 answer:

notka56 [123]3 years ago

8 0

Answer:

Volume of bottom of cylinder = Volume of entire cylinder - Volume of top of cylinder

Step-by-step explanation:

Here we have the volume of a cylinder given by

Volume of a cylinder = πr²h

Where the cylinder is cut by a plane into portions of heights, bottom a and top b we have

Height of bottom of is then

Height = h - b

Therefore, volume of bottom of cylinder = π·r²h = π·r²(h - b)

Volume of bottom of cylinder = π·r²·h - π·r²b

Volume of bottom of cylinder = Volume of entire cylinder - Volume of top of cylinder.

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Which graph represents viable values for y = 5.5x, where x is the number of cans of tomato paste and y is the total weight of th

Brilliant_brown [7]

Answer:

On a coordinate plane, x-axis is numbered negative 5 to positive 5 in increments of 1, and the y-axis is numbered negative 27.5 to 27.5 in increments of 5.5. Solid circles appear at points (0, 0), (1, 5.5), (2, 11), (3, 16.5), (4, 22), (5, 27.5)

Step-by-step explanation:

The first graph is not correct because you cannot sell or buy, for example 1.1, cans of tomato.

The second graph is correct because x is discrete variable, that is, it only take values like 1, 2, 3, etc.

The third and fourth graphs are not correct because you cannot sell or buy negative cans of tomatoes.

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3 years ago

Read 2 more answers

Find the value of x a. 7.5 b. 6 c. 10 d. 8

Radda [10]

B.6 because the length is equal to the length of the other 6

7 0

2 years ago

Mia removes the plug from a trough to drain the water. The volume, in gallons, in the trough after it has been unplugged can be

STALIN [3.7K]

Answer:

The correct option is D) (5x − 2)(2x − 3).

Step-by-step explanation:

Consider the provided expression.

$10x^2-19x+6$

Where x is time in minutes.

We need to find the appropriate form of the expression that would reveal the time in minutes when the trough is empty.

When the trough is empty the whole expression becomes equal to 0.

Substitute the whole expression equal to 0 and solve for x that will gives us the required expression.

$10x^2-19x+6=0$

$10x^2-15x-4x+6=0$

$5x(2x-3)-2(2x-3)=0$

$(5x-2)(2x-3)=0$

Now consider the provided option.

By comparison the required expression is D) (5x − 2)(2x − 3).

Hence, the correct option is D) (5x − 2)(2x − 3).

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3 years ago

Which statement is true for the equation 4n – 3 = 4n – 2 Select one: a. It has no solution. b. It has one solution. c. It has tw

oksian1 [2.3K]

4n-3=4n-2 subtract 4n from both sides

-3=-2

Since -3!=-2, there is no solution.

So your answer is a.

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3 years ago

Read 2 more answers

Sloane kicked a soccer ball at a speed of 56 feet per second. If the ball never leaves the ground, then it can be represented by

aksik [14]

Answer:

Third option: $t=3.5\ seconds$

Step-by-step explanation:

Given the function:

$H(t)=-16t^2 +56t$

Since the ball never leaves the ground, you need to substitute $H(t)= 0$ in the function in order to determine the time the soccer ball traveled:

$0=-16t^2 +56t$

Factorizing, you get:

$0=-8t(2t-7)$

Then:

$0=-8t\\\\t=0\ seconds\\\\\\\\0=2t-7\\\\7=2t\\\\t=3.5\ seconds$

Therefore the time the ball traveled was:

$t=3.5\ seconds$

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2 years ago