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nydimaria [60]
3 years ago
13

What is the volume of a cone with a diameter of 6 units and a height of 16 units?

Mathematics
1 answer:
nirvana33 [79]3 years ago
4 0
Volume of cone = pi r^2 (h)/3
= 3.14 x 3^2 x (16)/3
= 3.14 x 3^2 x 5.3
= 3.14 x 9 x 5.3
= 28.26 x 5.3
= 150.8 units^3
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Hey there please help me with this question
olga_2 [115]

Answer:

see explanation

Step-by-step explanation:

sum the parts of the ratio, 2 + 1 = 3 parts , thus

81 cm² ÷ 3 = 27 cm² ← value of 1 part of the ratio

2 parts = 2 × 27 = 54 cm²

Area of A = 54 cm² and area of B = 27 cm²

The side of the original square = \sqrt{81} = 9 cm

The width of both rectangles is 9 cm ( width remains unchanged after cut )

Thus

Rectangle A

9 × length = 54 ( divide both sides by 9 )

length = 6 cm

Rectangle B

9 × length = 27 ( divide both sides by 9 )

length = 3 cm

Rectangle A → length = 6 cm, width = 9 cm

Rectangle B → length = 3 cm , width = 9 cm

5 0
3 years ago
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yuradex [85]
Gavin needs $80 to buy a fish tank. He has saved $8 and plans to work as a babysitter to earn $9 per hour. Which inequality shows the minimum number of hours, n, that Gavin should work as a babysitter to earn enough to buy the fish tank? 8 + 9n ≥ 80, so n ≥ 8 8 + 9n ≤ 80, so n ≤ 8 9n ≥ 80 + 8, so n ≥ 9.8 9n ≤ 80 + 8, so n ≤ 9.8
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A cube has a volume of greater than 125 centimeters cubed. what are the possible lengths of the side of that cube?
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ad-work [718]

You can see that the term -6y appears in both equations. In this cases, we can leverage this peculiarity and subtract the two equations to get rid of the repeated term. So, if we subtract the first equation from the second, we have

(-4x -6y) - (-10x-6y) = 54-0 \iff 6x = 54 \iff x = 9

Now that we know the value of x, we can substitute in any of the equation to deduce the value of y: if we use the first equation, for example, we have

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7 0
3 years ago
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