Final answer:
The volume of the cone is 59 cu. cm (cubic centimetres).
Explanation:
To find the volume of a cone, we can use the formula V = (1/3)πr^2h, where V represents the volume, π is approximately 3.14, r is the radius of the base, and h is the height of the cone.
In this case, we are given the diameter of the cone, which is 5 cm. To find the radius (r), we need to divide the diameter by 2:
r = 5 cm / 2 = 2.5 cm
Next, we are given the height (h) of the cone, which is 9 cm.
Now, we can plug these values into the formula:
V = (1/3) × 3.14 × (2.5 cm)^2 × 9 cm
V = (1/3) × 3.14 × 6.25 cm^2 × 9 cm
V = (1/3) × 3.14 × 56.25 cm^3
V = 3.14 × 56.25 cm^3 / 3
V = 176.625 cm^3
Rounding the volume to the nearest whole number as specified, we get:
V ≈ 177 cu. cm
So, the volume of the cone is approximately 177 cu. cm, which rounds to 59 cu. cm when rounded to the nearest whole number.