Question Find the surface area of a cylinder with a height of 4 yards and a radius of 2 yards. Use 3.14 for π and round to the nearest tenth.(1 point)

Answer 1

The surface area $A$ of a cylinder can be calculated using the formula:

$$A=2\pi r(h+r)$$

where $r$ is the radius and $h$ is the height of the cylinder.

Given:

• Height $h=4$ yards
• Radius $r=2$ yards
• Using $\pi \approx 3.14$

Plugging in the values:

$$A=2\times 3.14\times 2\times (4+2)$$

First, calculate $(4+2)$:

$$(4+2)=6$$

Now substitute this back into the equation:

$$A=2\times 3.14\times 2\times 6$$

Calculating step-by-step:

1. Calculate $2\times 2=4$
2. Calculate $4\times 6=24$
3. Now, calculate $2\times 3.14=6.28$
4. Finally, multiply $6.28\times 24$.

Calculating $6.28\times 24$:

$$6.28\times 24=150.72$$

Rounding to the nearest tenth:

$$A\approx 150.7$$

Thus, the surface area of the cylinder is approximately $\boxed{{\displaystyle 150.7}}$ square yards.

Answer 2

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