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kow [346]
3 years ago
7

Which composite figure is made up of a cylinder and half sphere

Mathematics
1 answer:
nadezda [96]3 years ago
7 0

Answer:

485.9 mm³

Step-by-step explanation:

The volume of a sphere is 4/3 π r³. So the volume of a hemisphere is half of that:

V = (2 / 3) π r³

V = 128π/3

The formula for the volume of a cylinder is V = Bh or V = πr²h .

The radius of the cylinder is 4mm and the height is 7mm

Substitute 4 for r and 7 for h in the formula V = πr²h .

V=π(4)²(7)

V = 112π

Since the figure is made up of a hemisphere and cylinder so volume will be sum of these two shapes

V = 128π/3 +  112π

 = 485.9 mm³

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Which of the following is true about the sequence graphed below? (and Why)
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Answer:

Cost of each large soft drink is $3.00 and Cost of each Large bucket of popcorn is $4.50.

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Also Let the Cost of each Large bucket of popcorn be y.

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Hence we can say that;

3x+3y=22.50 \ \ \ \ equation \ 1

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Number of tickets bought = 3

Money spend on tickets = 8\times3 = \$24

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Also they each get a large soft drink, but they share one large bucket of popcorn

Cost of Soft drink = 3x

Cost of popcorn = y

Now Total return trip is equal to sum of Money spend on tickets  and Cost of soft drink and Cost of popcorn.

Hence equation can be framed as;

24+3x+y=37.50\\3x+y=37.50-24\\3x+y = 13.50 \ \ \ \ eqaution \ 2

Now Subtracting equation 2 from equation 1 we get;

(3x+3y)-(3x+y)=22.50-13.50\\\\3x+3y-3x-y=9\\\\2y= 9\\\\y=\frac{9}{2}=\$4.50

Now substituting the value of y in equation 1 we get;

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