Mathematics, 09.04.2020 07:17 connermichaela
Suppose the height of a cylinder is equal to its radius. The cylinder can fit inside a square prism, as shown below.
The cross-sectional areas are still the same and the ratio of the area of the circle to the area of the square is still StartFraction pi Over 4 EndFraction.
StartFraction pi Over 4 EndFraction
Complete the derivation of the formula for a cylinder whose height is equal to its radius.
The prism’s volume is the area of the base,
, times the height, .
Since the ratio of the areas is StartFraction pi Over 4 EndFraction, then the volume of the cylinder is times the volume of the prism.
V = A cylinder inside of a square prism is shown. The cylinder has a height and radius with a length of r. The length of the square prism is 2 r.(4r3), or
Answers: 2
Another question on Mathematics
Mathematics, 21.06.2019 22:00
Amountain climber starts a climb at an elevation of 453 feet above sea level at his first rest stop he has climbed 162 feet and by his second rest stop he has climbed another 207 feet its getting late in the day so the climber starts his way down if the climber desends 285 feet how much does he need to ascend or descend to return to the original starting point
Answers: 1
Mathematics, 21.06.2019 23:00
What adds to be the bottom number but also multiplies to be the top number with 8 on the bottom and 15 on top
Answers: 2
You know the right answer?
Suppose the height of a cylinder is equal to its radius. The cylinder can fit inside a square prism,...
Questions
Mathematics, 30.04.2021 23:40
Mathematics, 30.04.2021 23:40
Chemistry, 30.04.2021 23:40
Mathematics, 30.04.2021 23:40
Mathematics, 30.04.2021 23:40
Biology, 30.04.2021 23:40
Law, 30.04.2021 23:40
Mathematics, 30.04.2021 23:40
