An oblique cylinder has a radius of 8 inches and a volume of 1,024 cubic inches. Use Cavalieri’s Principle to calculate the heig
ht of the solid. 15 meters 16 meters 20 meters 25 meters
1 answer:
Remark
All Cavaliere's principle says is that a slanted cylinder (for example) has the same volume as a cylinder with perpendicular parallel lines that the cylinder is sitting on.
I little known or maybe not a well emphasized fact is that the base is the same all the way up the cylinder. The coin picture below shows that. The basic formula for a Cavaliere cylinder is the same as for an ordinary cylinder.
See picture below
Formula
V = B * H
Sub and Solve
V = 1024
r = 8
p=3.14
V = pi*r^2 * h
1024 = 3.14*8^2 * h combine the right side.
1024 = 3.14*64 *h
1024 = 200.96 * h divide by 200.96
1024/200.96 = h
You are only getting 5 inches.
None of your answers work.The conversion to meters is going to give you an even smaller number. If you add a comment, I'll come back and edit this question.
All Cavaliere's principle says is that a slanted cylinder (for example) has the same volume as a cylinder with perpendicular parallel lines that the cylinder is sitting on.
I little known or maybe not a well emphasized fact is that the base is the same all the way up the cylinder. The coin picture below shows that. The basic formula for a Cavaliere cylinder is the same as for an ordinary cylinder.
See picture below
Formula
V = B * H
Sub and Solve
V = 1024
r = 8
p=3.14
V = pi*r^2 * h
1024 = 3.14*8^2 * h combine the right side.
1024 = 3.14*64 *h
1024 = 200.96 * h divide by 200.96
1024/200.96 = h
You are only getting 5 inches.
None of your answers work.The conversion to meters is going to give you an even smaller number. If you add a comment, I'll come back and edit this question.
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16 yı karşıya at;
x/-4-16<0
(-x-64)/4<0
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x>-64
When you know the coordinates of a point and the slope of a line, you can use the formula
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, so you have
10 question of spelling words and 16 questions of vocabulary are present
<em><u>Solution:</u></em>
Let "x" be the number of spelling word questions
Let "y" be the number of vocabulary word question
<em><u>There is a total of 26 questions. Therefore, we get</u></em>
number of spelling word questions + number of vocabulary word question = 26
x + y = 26 --------- eqn 1
<em><u>There are spelling word questions that worth 2 points each and vocabulary word question worth 5 points each</u></em>
The language arts test is worth 100 points
Therefore, we frame a equation as:
number of spelling word questions x 2 + number of vocabulary word question x 5 = 100
2x + 5y = 100 --------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
From eqn 1,
x = 26 - y ------- eqn 3
<em><u>Substitute eqn 3 in eqn 2</u></em>
2(26 - y) + 5y = 100
52 - 2y + 5y = 100
3y = 100 - 52
3y = 48
<h3>y = 16</h3><em><u>Substitute y = 16 in eqn 3</u></em>
x = 26 - 16
<h3>x = 10</h3>Thus 10 question of spelling words and 16 questions of vocabulary are present