Question

the volume of a cylinder with radius ( r ) and height ( h ) is given by the formula ( v=pi r^{2}h ). find the volume of a cylinder with radius 10 cm and height 17 cm. (square) ( \text{cm}^3 ) use 3.14 or the ( pi ) key on your calculator. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Identify given values

$r = 10\ \text{cm}$, $h = 17\ \text{cm}$, $\pi = 3.14$

Step2: Substitute into volume formula

$V = 3.14 \times (10)^2 \times 17$

Step3: Calculate radius squared

$(10)^2 = 100$

Step4: Compute intermediate product

$3.14 \times 100 = 314$

Step5: Find final volume

$314 \times 17 = 5338$

Answer:

$5338\ \text{cm}^3$