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-BARSIC- [3]
3 years ago
14

Find the volume of the composite figure. Round your answer to the nearest hundredth

Mathematics
1 answer:
pishuonlain [190]3 years ago
3 0

Answer:

The volume of the figure is 590.71 mm³

Step-by-step explanation:

To solve this problem we have to find the volume of the cylinder and the volume of the rectangular prism and add them

To calculate the volume of a cylinder we have to use the following formula:

v = volume

h = height = 3.65mm

π = 3.14

r = radius = 3.2mm

v = (π * r²) * h

we replace the unknowns with the values we know

v = (3.14 * (3.2mm)²) * 3.65mm

v = (3.14 * 10.24mm²) * 3.65mm

v = 32.1536² * 3.65mm

v = 117.36mm³

To calculate the volume of a rectangular prism we have to use the following formula:

v = volume

w = width  = 14.23mm

l = length  = 10.08mm

h = height  = 3.3mm

v = w * h * l

we replace the values that ​​we know        

v = 14.23mm * 10.08mm * 3.3mm

v = 473.347mm³

we add the volumes

v = 117.36mm³ + 473.347mm³

v = 590.707

round to the neares hundredth

v = 590.707 mm³ = 590.71 mm³

The volume of the figure is 590.71 mm³

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Step-by-step explanation:


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3 years ago
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Answer:

The degrees of freedom are given by:

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Step-by-step explanation:

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We need to conduct a hypothesis in order to check if the true mean differs from 11568, the system of hypothesis would be:  

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Alternative hypothesis:\mu \neq 11568  

The degrees of freedom are given by:

df =n-1= 62 -1=61

And we want to find a critical value on the t distribution with 61 degrees of freedom who accumulates 0.025 of the area on each tail and the critical value would be t_{\alpha/2}= \pm 2.00

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Answer:

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Bingel [31]
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So basically two - thirds.


Hope this helps and if it does happy studying.
5 0
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