Use Cavalieris Principle to calculate the exact volume of an oblique cylinder

Use Cavalieri’s Principle to calculate the exact volume of an oblique cylinder with a radius of 5 inches and a height of 16 inches.

2 months ago

Solution 1

Guest Guest #3171
2 months ago


V=400{\pi} in^3

Step-by-step explanation:

Cavalieri’s Principle: If in two solids of equal altitude, the sections made by planes parallel to and at the same distance from their respective bases are always equal, then the volumes of the two solids are equal.

Thus, we are given that the radius of the cylinder is 5 inches and height is 16 inches, therefore volume of oblique cylinder is given as:


Substituting the given values,, we have



V=400{\pi} in^3

Thus, the volume of the oblique cylinder is 400π cubic inches.

Solution 2

Guest Guest #3172
2 months ago
V= (pi)r^29(h)
V= (pi) 25(16)

V= 400(pi) in^3

📚 Related Questions

is dogs being a popular pet a fact or opinion?? thanks !! ps. i know this isnt math but i need help and i didnt know what to put as subject
Solution 1
This is a fact no one is expressing their feelings towards this idea and it can be backed up by evidence.
Solution 2
A opinion because it is what you think
Alan is giving a basic math test in his class. One of the questions in the test is about finding two factors of the number 221. Which are the two factors of the given number? The two factors of the number 221 are ___ and ____.
Solution 1
The two factors of the number 221 are 13 and 17. 
A factor refers to a whole number, which fits evenly into another whole number. Thus, factors are the numbers, which we multiply together to get another number. The two numbers that can be multiply together to get 221 are 13 and 17.
Solution 2
1,13,17 are three of them 

What is 4.6 repeating as a fraction??? please help!! :'(
Solution 1
Your answer would be 4 2/3. 



Then 10x=46.66¯6

So 10x−x=46.66¯6
4.66¯6.−−−−−−−− subtract

Divide both sides by 9


Tell whether the ratios form a proportion: 1/9, 6/54
Solution 1
55 yup 7766788887653224 ty yo 99 iffy
2235 {1 { {y) {) { \leqslant  \times  \times  -  \times  +  +  -  +  - 241 { { {2x1 = e \gamma  \beta ee\pi\pi \gamma  \binom{ \binom{ \cot( \tan( \alpha  ln( log( \gamma  \gamma hghdu) ) ) ) }{?} }{?} }^{?} }^{2} }^{2} }^{?} }^{?} }^{?} }^{2} }^{?}  \times \frac{?}{?} u \: ugly
A number is less than 20 units away from 7 on the number line. What numbers are within these parameters? Choose the inequality that represents the situation.
Solution 1


1. B

2. D

3. D


took it on edge

Solution 2


For the pull out menu it was B

Step-by-step explanation:

What is the approximate volume of a cylinder with a radius of 8 cm and height of 5 cm? A. 62.8 B. 251.2 C. 25.1 D. 502.4 E. 1004.8
Solution 1
V(cylinder)=πr² *h
r=8 cm
h=5 cm
V(cylinder)=πr² *h =3.14*8²*5= 1004.8 cm³
Answer : E.
What is the y-intercept of x^2+2x+6
Solution 1
The y-intercept occurs when x = 0.
y = x^2 + 2x + 6
Let x = 0
y = 0^2 + 2 * 0 + 6
y = 6
Answer: 6
Solution 2
Y-intercept is a point when x=0,
So y-intercept is (0,6)
6x – 2y = 10 2x + 3y = 51 Solving the first equation above for y gives
Solution 1

Answer with Step-by-step explanation:

6x – 2y = 10

2x + 3y = 51

Solving the first equation above for y:


⇒ 2y=6x-10

dividing both sides by 2


Putting value of y in second equation

2x + 3(3x-5) = 51




⇒ x=6



= 13

Hence, solution is: x=6 and y=13

and  Solving the first equation above for y gives: y=3x-5

Solution 2
The answer is
x=6 and y=13
hope i helped
Hello everyone, please explain this with details. Jay traveled from Miami to Jacksonville, a distance of 320 miles. He left Miami at 8:00 A.M., stopped for lunch for 30 minutes, and stopped for two 15 minute breaks at rest areas. He arrived in Jacksonville at 2:15 P.M. What was his average rate of speed during his travel time?
Solution 1
Travel from 8 AM to 2:15 PM is a total of 6 hours and 15 minutes. If you subtract the 30 minute lunch and two 15 minute breaks you are left with 5 hours and 15 minutes or 5.25 hours. To get his average speed divide 320 miles by 5.25 hours

320 ÷ 5.25 = 60.9 mph or 61 mph rounded to the nearest one.
The product of 9 and the sum of three times a number and 8 is 180. What is the number?
Solution 1