Vcylinder-vcone=vair
vcylinder=hpir^2
vcone=(1/3)hpir^2
vcylinder=16*pi*5^2=400pi
vcone=(1/3)12*pi*4^2=64pi
vylinder-cone=400pi-64pi=336pi
volume is 336pi cubic centimeters or aprox 1055.5 cubic cm
Using the addition rule of the Sine function and the Cosine function, we obtain .
<h3>What are the formulas for (sin x + sin y) and (cos x + cos y)?</h3>
- The formula for the addition of two Sine functions () is .
- The formula for the addition of two Cosine functions () is .
Given that
Then using the above formulas, we get:
(1)
(2)
Dividing the equation (1) by (2), we get:
(3)
Now, we know that .
Thus, using the above formula, we get from (3):
Therefore, using the addition rule of the Sine function and the Cosine function, we obtain .
To know more about Sine and Cosine functions, refer: brainly.com/question/27728553
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Answer: Answer:
length= 53.22
width= 17.74
Step-by-step explanation:
Assuming the tank is a rectangular prism, then the formula for its volume will be:
volume= height* length * width
v= h * l * w
The length is equal to 3 times width, to put into the equation it will be:
l= 3w
We know that volume is 315 cubic feet and height is 3 feet, if you substitute all value into the equation we can find out the width.
v= h * l * w
315= 3 * l * w
945 = 3w * w
3w^2 = 945
w^2= 315
w= 17.74
Then we can find out length
l= 3 * w
l= 3* 17.74= 53.22
Step-by-step explanation:
Answer:
Step-by-step explanation:
Please see attached file
Step-by-step explanation:
equation:½bxh
so ½x6x8
so 6x8 is 48
48/2 is 24cm