Respuesta :
Answer:
- Volume of cylinder is 1099 in³
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Step-by-step explanation:
[tex]\\[/tex]
- Diameter of cylinder = 10 inches
- Height of cylinder = 14 inches
[tex]\\[/tex]
We know that,
[tex]\dashrightarrow \sf \: \: Radius = \dfrac{Diameter}{2} \\ \\[/tex]
[tex]\dashrightarrow \sf \: \: Radius = \dfrac{10}{2} \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: { \underline { \boxed{ \pmb{ \sf{ \pink{ Radius = 5 \: inches}}}}}} \\ \\ [/tex]
Using formula:
[tex] \: \: \: \: \: \: {\underline{\boxed{\pmb{\sf{Volume \: of \: cylinder = \pi r^2h}}}}} \: \pink\star \\ \\ [/tex]
Where,
- r is radius of the cylinder
- h is height of the cylinder
- π = 3.14
[tex]\\[/tex]
Substituting the required values in the formula:
[tex]\dashrightarrow \sf \: \: Volume = 3.14 × (5)^2 × 14 \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: Volume = 3.14 \times 25 \times 14 \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: Volume = 78.5 \times 14 \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: { \underline{\boxed { \pmb{ \sf{ \pink{Volume = 1099 \: {in}^{3} }}}}}} \\ \\ [/tex]
Hence,
- Volume of the cylinder is 1099 in³
