A small sphere of radius 2cm is taken to a depth of 500m under the sea. If the sphere shrinks to a radius of 1.98 cm, then
Question
A small sphere of radius 2cm is taken to a depth of 500m under the sea. If the sphere shrinks to a radius of 1.98 cm, then
Solution
You haven't provided a specific question about the sphere. However, I can tell you that the decrease in the sphere's radius is due to the increased pressure at that depth in the sea. The pressure at a certain depth in a fluid is given by the equation P = ρgh, where ρ is the fluid density, g is the acceleration due to gravity, and h is the depth.
If you want to know by how much the volume of the sphere has decreased, you can calculate the volume of the sphere before and after the decrease in radius and then find the difference. The volume V of a sphere is given by the equation V = 4/3πr³, where r is the radius of the sphere.
So, the initial volume of the sphere is V1 = 4/3π(2 cm)³ = 33.51 cm³.
The final volume of the sphere is V2 = 4/3π(1.98 cm)³ = 32.67 cm³.
The decrease in volume is ΔV = V1 - V2 = 33.51 cm³ - 32.67 cm³ = 0.84 cm³.
If you have a different question about the sphere, please provide more details.
Similar Questions
A small sphere of radius 2cm is taken to a depth of 500m under the sea. If the sphere shrinks to a radius of 1.98 cm, then Find the hydraulic stress of the sphere. ×105×10 5 Pascals Find the hydraulic strain of the sphere.
A submarine is at a depth of 500 m under the water. The force on a circular hatch of diameter 1.00 m due to the seawater (density = 1,025 kg/m3) pressure from outside the submarine is
The pressure at what depth in seawater (density 1,025 kg/m3) is equivalent to that at a depth of 10.0 m in fresh water (density 1,000 kg/m3)?
A probe is used to monitor the quality of the water in the sea. The probe is suspended by avertical string which is attached to a sphere. The stationary sphere floats in equilibrium on thesurface of the sea, as shown.airseastringsphereprobeThe sphere has a weight of 5.00 N. The probe and string have a combined weight of 2.00 N.The density of the seawater is 1.03 × 10 3 kg m –3 . The upthrust acting on the probe and thread isnegligible.What is the volume of the sphere below the surface of the sea?A 1.98 × 10 –4 m3B 2.97 × 10 –4 m3C 4.95 × 10 –4 m3D 6.93 × 10 –4 m3
A ship uses pulses of sound to measure the depth of the sea beneath the ship. A sound pulseis transmitted into the sea and the echo from the sea-bed is received after 54 ms. The speedof sound in seawater is 1500 m / s.Calculate the depth of the sea beneath the ship
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.