Question

A cylinder has a diameter of 10 inches and a height of 14 inches. what is the volume of the cylinder? use 3.14 for pi?
_______cubic inches

Answer 1

Answer:

• Volume of cylinder is 1099 in³

Step-by-step explanation:

• Diameter of cylinder = 10 inches
• Height of cylinder = 14 inches

We know that,

$\dashrightarrow \sf \: \: Radius = \dfrac{Diameter}{2}$

$\dashrightarrow \sf \: \: Radius = \dfrac{10}{2}$

$\dashrightarrow \sf \: \: { \underline { \boxed{ \pmb{ \sf{ \pink{ Radius = 5 \: inches}}}}}}$

Using formula:

$\: \: \: \: \: \: {\underline{\boxed{\pmb{\sf{Volume \: of \: cylinder = \pi r^2h}}}}} \: \pink\star$

Where,

• r is radius of the cylinder
• h is height of the cylinder
• π = 3.14

Substituting the required values in the formula:

$\dashrightarrow \sf \: \: Volume = 3.14 × (5)^2 × 14$

$\dashrightarrow \sf \: \: Volume = 3.14 \times 25 \times 14$

$\dashrightarrow \sf \: \: Volume = 78.5 \times 14$

$\dashrightarrow \sf \: \: { \underline{\boxed { \pmb{ \sf{ \pink{Volume = 1099 \: {in}^{3} }}}}}}$

Hence,

• Volume of the cylinder is 1099 in³