Question

A Coke can has a radius of 4 cm and a height of 11 cm. What is the volume of the can?

Answer 1

V ≈ 552.9 cm³

Explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height ) , then

V = π × 4² × 11 = π × 16 × 11 = 176π ≈ 552.9 cm³ ( to the nearest tenth )

Answer 2

The volume of Coke can is 552.64 cm².

Step-by-step explanation:

Given :

• ✧ Radius of Coke can = 4 cm.
• ✧ Height of Coke can = 11 cm.

To Find :

• ✧ Volume of Coke can

Using Formula :

`{\star{\small{\underline{\boxed{\sf{\red{V_((Can)) = \pi{r}^(2)h}}}}}}}`

• ✧ V = Volume
• ✧ π = 3.14
• ✧ r = radius
• ✧ h = height

Solution :

Here's the Coke can is in cylindrical form.

So, finding the volume of Coke can by substituting the values in the formula :

`{\dashrightarrow{\pmb{\sf{Volume_((Can)) = \pi{r}^(2)h}}}}`

`{\dashrightarrow{\sf{Volume_((Can)) = 3.14 * {(4)}^(2) * 11}}}`

`{\dashrightarrow{\sf{Volume_((Can)) = 3.14 * {(4 * 4)}* 11}}}`

`{\dashrightarrow{\sf{Volume_((Can)) = 3.14 * {(16)}* 11}}}`

`{\dashrightarrow{\sf{Volume_((Can)) = 3.14 * {16}* 11}}}`

`{\dashrightarrow{\sf{Volume_((Can)) = (314)/(100) * {16}* 11}}}`

`{\dashrightarrow{\sf{Volume_((Can)) = (314 * 16 * 11)/(100)}}}`

`{\dashrightarrow{\sf{Volume_((Can)) = (5024 * 11)/(100)}}}`

`{\dashrightarrow{\sf{Volume_((Can)) = (55264)/(100)}}}`

`{\dashrightarrow{\sf{Volume_((Can)) \approx 552.64 \: {cm}^(2)}}}`

`\star{\red{\underline{\boxed{\sf{Volume_((Can)) \approx 552.64 \: {cm}^(2)}}}}}`

Hence, the volume of Coke can is 552.64 cm².