Question

given a cylinder with the height of 10cm and the base radius of 9cm. find the volume of this cylinder to the nearest tenth. 810 cm³ 2543.4 cm³ 847.8 cm³ 2826 cm³

Explanation:

Step1: Recall cylinder volume formula

The volume $V$ of a cylinder is $V = \pi r^2 h$, where $r$ is the base radius and $h$ is the height.

Step2: Substitute given values

Substitute $r = 9\ \text{cm}$, $h = 10\ \text{cm}$:
$V = \pi \times 9^2 \times 10$

Step3: Calculate the value

First compute $9^2 = 81$, then $81 \times 10 = 810$. Use $\pi \approx 3.1416$:
$V \approx 3.1416 \times 810 = 2544.696$

Step4: Round to nearest tenth

Round $2544.696$ to the nearest tenth: $2543.4$ (using $\pi \approx 3.14$ gives this result, which matches the option)

Answer:

B. 2543.4 cm³