A cylinder has a height of 16 inches and a diameter of 34 inches. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.

Question

asked Nov 18, 2023 124k views

1 Answer

Ogbonna Vitalis · Answer 1 · 2023-11-22T23:14:03+0000

We are given that:

Ⳙ⳽ⲓⲛⳋ ⳨ⲟⲅⲙⳙⳑɑ:

Since, cylinder has circular ends , it's volume is given by the formula:

$\quad\hookrightarrow\quad {\pmb{\sf { \pi r^2 h }} }$

Ⲧⲏⲉⲅⲉ⳨ⲟⲅⲉ:

$\quad :\implies\quad \sf {V = \pi r^2 h }$

$\quad :\implies \quad \sf { V =\pi\left( \cancel{(34)/(2)}\right)^2* 16}$

$\quad :\implies\quad \sf {V = 3.14 * (17)^2 * 16 }$

$\quad :\implies\quad \sf { V = 3.14* 289 * 16}$

$\quad :\implies \quad{\pmb{ \sf {V = 14,519.36}} }$

‎ㅤ‎ㅤ‎ ‎ㅤ‎ㅤ‎~Hence, the volume of given cylinder is 14,519.36 cube inches.