Answer:
Explanation:
We can start by using the formula for the volume of a cylinder:
Volume = πr²h
where r is the radius and h is the height (or depth) of the cylinder.
Since the table top is cylindrical, we can also use the formula for the density of an object:
Density = mass / volume
We can rearrange this formula to solve for the volume:
Volume = mass / density
Substituting the given values, we get:
Volume = 0.15 kg / 0.44 g cm³
We need to convert the density from grams per cubic centimeter to kilograms per cubic meter, so we multiply by 1000:
Volume = 0.15 kg / (0.44 g cm³ x 1000) = 0.000340909 m³
Now we can use the given depth of the table top to find the radius:
Volume = πr²h
0.000340909 m³ = πr² x 0.05 m
Dividing both sides by π x 0.05 m, we get:
r² = 0.000340909 m³ / (π x 0.05 m)
r² = 0.004329 m²
r ≈ 0.066 m (rounded to 3 decimal places)
Therefore, the radius of the table top is approximately 0.066 m, rounded to 1 decimal place.