Answer:
Volume of Cylinder using Cavalieri's Principle is
.
Step-by-step explanation:
Given that,
Area of cross-section of a solid cylinder is
.
Height of solid is
.
According to Question,
The Cavalieri's Principle : if two or more solid figures have same cross-sectional area at energy level and height is same then its volume is same.
So, Volume of Cylinder = ![Area \ of \ cross-section \times height](https://tex.z-dn.net/?f=Area%20%5C%20of%20%5C%20cross-section%20%5Ctimes%20height)
Substituting the given value we get,
Volume of cylinder = ![803.84ft^{2} \times 12.25ft](https://tex.z-dn.net/?f=803.84ft%5E%7B2%7D%20%5Ctimes%2012.25ft)
![= 9847.04 ft^{3}](https://tex.z-dn.net/?f=%3D%209847.04%20ft%5E%7B3%7D)
Hence, Volume of Cylinder using Cavalieri's Principle is
.
He payed $43 to get the car so you need to do $111.20 -$43 = $68.20 then he pays $1.10 for every mile he drives so you need to decide $68.20 by$1.10 to get 62 so he drives 62 miles
Answer:
Yes The intersection of any two disjoint sets is a null set
if two sets do not have any common element then their intersection does not have any element Therefore its intersection is a null set
Step-by-step explanation:
Answer:
The systems of equation are identical and such there are infinitely many solutions. For the first part the correct answer is B. For the second part, the correct answer is A
Step-by-step explanation:
If we multiply the first equation by 4 the result is the second equation and thus the systems of equations are scalar multiples of each other. The solution to such a system is found by expressing one variable in terms of the other hence choice B.
Since the systems are scalar multiples of each other, if we graph them they would simply coincide since they are identical, that is they have same slope and y-intercept.
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