Question

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.

Answer 1

Ⲁⲛ⳽ⲱⲉⲅ:

• Volume = 14,519.36 inch³

Ⲋⲟⳑⳙⲧⳕⲟⲛ :

We are given that:

• Height of cylinder = 16 inches
• Diameter of cylinder = 34 inches
• We have to use π = 3.14

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.