Mathematics, 30.01.2020 11:44, ob3ymysins
The height of a right cylinder is 3 times the radius of the base. the volume of the cylinder is 24 cubic units. what is the height of the cylinder?
Answers: 1
![\large\boxed{H=\dfrac{6}{\sqrt[3]{\pi}}}](/tpl/images/0485/6603/58339.png)
![24=\pi r^2(3r)\\\\24=3\pi r^3\qquad\text{divide both sides by}\ 3\pi\\\\\dfrac{24}{3\pi}=r^3\\\\r^3=\dfrac{8}{\pi}\to r=\sqrt[3]{\dfrac{8}{\pi}}\\\\r=\dfrac{\sqrt[3]{8}}{\sqrt[3]{\pi}}\\\\r=\dfrac{2}{\sqrt[3]{\pi}}\\\\H=3r\to H=3\cdot\dfrac{2}{\sqrt[3]{\pi}}\to H=\dfrac{6}{\sqrt[3]{\pi}}](/tpl/images/0485/6603/f193d.png)
Other questions on the subject: Mathematics
Mathematics, 21.06.2019 20:00, xxaurorabluexx
Credit card a offers an introductory apr of 3.4% for the first three months and standard apr of 15.7% thereafter,
Answers: 3
Mathematics, 21.06.2019 23:20, emilypzamora11
Find the common ratio of the sequence. -4, 8, -16, 32, a: -12b: -2c: 12d: -1/-2
Answers: 1
Mathematics, 22.06.2019 01:10, calmicaela12s
A3cm×3cm\greend{3\,\text{cm} \times 3\,\text{cm}} 3cm×3cm start color greend, 3, space, c, m, times, 3, space, c, m, end color greend rectangle sits inside a circle with radius of 4cm\blued{4\,\text{cm}} 4cm start color blued, 4, space, c, m, end color blued . what is the area of the shaded region? round your final answer to the nearest hundredth.
Answers: 3
Do you know the correct answer?
The height of a right cylinder is 3 times the radius of the base. the volume of the cylinder is 24 c...
Questions in other subjects:
Mathematics, 23.08.2019 16:30
Biology, 23.08.2019 16:30
Business, 23.08.2019 16:30
Geography, 23.08.2019 16:30
