can someone please help?

Question

unofficialllyy · Answer

A company that manufactures storage bins for grains made a drawing of a silo. The silo has a conical base, as shown below:

Which of the following could be used to calculate the total volume of grains that can be stored in the silo?

danjs · Answer

If i am picturing the thing right, it is the vvolume of a cylinder plus the volume of the cone

danjs · Answer

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unofficialllyy · Answer

attachment

danjs · Answer

Yes
Total Volume = Volume Cylinder + Volume Cone

danjs · Answer

Cylinder - height = 8 ft ,   radius = 2 ft

Cone -    height = 1.5 ft, radius = 2 ft

unofficialllyy · Answer

I got 
$$\pi(2ft)^2(8ft)+\frac{ 1 }{ 3 } \pi(2ft)^2(9.5ft-8ft)$$

danjs · Answer

$$Volume = [\pi*r^2*h _{cyl}]  +  [\frac{ 1 }{ 3 }\pi*r^2*h _{cone}]$$

danjs · Answer

yep, looks good

unofficialllyy · Answer

Could you help me with some more?

danjs · Answer

sure

unofficialllyy · Answer

What is the weight (in grams) of a liquid that exactly fills a 202.0 milliliter container if the density of the liquid is 0.685grams over milliliter? Round to the nearest hundredth when necessary and only enter numerical values, which can include a decimal point.

danjs · Answer

weight = newtons,   mass= grams.

danjs · Answer

nvm

danjs · Answer

Given:  Volume = 202.0 mL
             Density = 0.685 g / mL

Find:  mass  [g]

danjs · Answer

Density = mass / volume

so 

mass = density * volume

unofficialllyy · Answer

I'm really confused lol

danjs · Answer

Just remember, the density is a mass per unit of volume

Density = mass / volume

danjs · Answer

multiplying both sides by volume

mass = volume x density

unofficialllyy · Answer

I got 138.37

danjs · Answer

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danjs · Answer

right

unofficialllyy · Answer

I have one more that I need help with.

danjs · Answer

sure

unofficialllyy · Answer

A cone has a diameter of 8 centimeters and a height that is 4 times the diameter. Using 3.14 for pi, which of the following can be used to calculate the volume of the cone?

anonymous · Answer

i agree with you because you work really explains well

danjs · Answer

v = (1/3) * pi * r^2 * h

danjs · Answer

diameter = 8,   so radius = 4

height = 4*diameter = 4*8 = 32

unofficialllyy · Answer

My answer is: $$\frac{ 1 }{ 3 }(3.14)(8cm)^2(32cm)$$

danjs · Answer

yep, and as a check, your units come out to cm^3  which is correct for a Volume

anonymous · Answer

yep

unofficialllyy · Answer

thank you so much!

danjs · Answer

no prob , anytime