Question

If the diameter of the black marble is 3.0 cm, and by using the formula for volume, what is a good approximation of its volume? Record to the ones place. cm3 Determine the initial volume of water in the graduated cylinder. If you added the black marble to the graduated cylinder and it sinks, what final volume should the water level indicate? Record to the ones place.

Answer 1

Answer:

The rise in liquid is $4.33-3 = 1.33 cm$

Explanation:

Volume of the given marble can be found out using the formula for volume = $4/3 \pi r3$

Radius is given as 3/2 cm

$4/3 \times 22/7 \times 3/2 \times 3/2 = 66/7 cm3= 9.42$

Now if the graduated cylinder has same diameter and the level of liquid is 3 cm then volume of cylinder can be calculated by the following formula =$\pi r2h = 22/7 \times 3/2 \times 3/2 \times 3 = 21.21cm$

When the marble ball completely sinks the new volume is = $21.21 + 9.42 = 30.63$

The rise in height will be $\pi r2h = 22/7 \times 3/2 \times 3/2 \times h = 30.63$

$H= 4.33$ so rise in liquid is $4.33-3 = 1.33 cm$

Answer 2

Answer:

14 and 124

Explanation: