Answer:
652.07 cm³ (2 decimal places)
Step-by-step explanation:
Volume of cylinder V = π · r² · h where r is the radius and h = height
r = diameter/2 = 10/2 = 5 cm
To find h note that the diagonal internal length of 13cm, the diameter of the base of the cylinder of 10 cm and the height h of the cylinder form a right triangle with 13 cm as the hypotenuse, diameter d as one leg and h as the other length
By the Pythagorean theorem
d² + h² = 13²
10² + h² = 13²
100 + h² = 169
h² = 169 - 100 = 69
h = √69 ≈ 8.3 cm
Using π = 3.14 and plugging in r and h values into the volume formula we get
V = 3.14 x 5² x 8.3
= 652.0699.. cm³
= 652.07 cm³ (2 decimal places)
