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Ket [755]
3 years ago
8

Find the volume of the specified cone. Use 3.14, and round your answer to the nearest whole number.

Mathematics
2 answers:
Anna71 [15]3 years ago
6 0

Answer: 59 cubic cm.

Step-by-step explanation:

The volume of cone is given by :-

V=\dfrac{1}{3}\pi r^2 h, where r is radius and h is height of the cone.

Given: Diameter : 5 cm

Then Radius =\dfrac{5}{2}=2.5\ cm

Height : 9 cm

Then , the volume of the cone will be :-

V=\dfrac{1}{3}(3.14) (2.5)^2 (9)=58.875\approx59\text{ cm}^3

Hence, the volume of the cone = 59 cubic cm.

Xelga [282]3 years ago
4 0
The formula for the volume of a cone is V=(1/3)πr^2h.
To find r (radius) divide the diameter by 2, giving you 2.5 cm.
Plug in the numbers now !
V=(1/3)(3.14)(2.5^2)(9)
V=(1/3)(3.14)(6.25)(9)
V=(1/3)(176.625)
V=58.875
Therefore, the volume of the cone is about 59cm^3 :)
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A hovercraft takes off from a platform.
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Answer:

81 meters.

Step-by-step explanation:

The height (in meters), h(x) of a hovercraft x seconds after takeoff, is modeled by:

h(x)=-3(x-3)^2+108

We are to determine its height at the time of takeoff.

Now, at the time of takeoff, x=0.

We substitute x=0 to solve for h.

h(0)=-3(0-3)^2+108\\=-3(-3)^2+108\\=-3(9)+108\\=-27+108\\=81$ meters

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What number is a factor of 20 but not a multiple of 5
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What is the slope in the table below
eduard

Answer:

<h2>The table does not show a linear function</h2>

Step-by-step explanation:

\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{From the table we have:}\\\\(5,\ 24),\ (10,\ 21),\ (15,\ 17),\ (20,\ 13)\\\\\text{Check}\\\\\dfrac{21-24}{10-5}=\dfrac{-3}{5}=-\dfrac{3}{5}\\\\\dfrac{17-21}{15-10}=\dfrac{-4}{5}=-\dfrac{4}{5}\\\\-\dfrac{3}{5}\neq-\dfrac{4}{5}

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zhuklara [117]

Answer:  

\frac{(L x M)}{6}

Step-by-step explanation:  

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The least common multiple is the smallest positive number which is a multiple of the two. This means both L and M divide into it evenly.

We know L x M is a multiple because L and M will be factors of it. But we don't know its the least.

As an example if L= 42 and M = 60, they have GCF 6. We can multiply them to find a multiple 42 x 60 = 2520 but we don't know this is the smallest or least multiple we can find. If we divide by the GCF, 2520/6=420. Interestingly, 42 x 10 =420 and 60 x 7 =420. This means 420 is the least common multiple.  

We can multiply (L x M) and then divide by the GCF of L & M to find the least common multiple.

\frac{(L x M)}{6}


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