Question

A sphereing bat contains a sphere within a sphere. The diameter of the inner sphere is 1.9 meters. The outer sphere of the sphereing bell has a dumeter of 25 meters. Find the volume wittia the outer spere but outside the inner sathere: (abound your anwer to fwo dedimal places)

Answer 1

To find the volume between an outer sphere and an inner sphere, first calculate the volume of both spheres using the formula V = (4/3) π r^3 and then subtract the inner sphere's volume from the outer sphere's volume. Use the given diameters to determine the radii of the spheres and then perform the calculations to get the desired volume.

Step-by-step explanation:

The student is asking to calculate the volume between two spheres, where one sphere is inside of the other. The volume of a sphere is given by the formula V = (4/3) π r^3, where V is the volume and r is the radius of the sphere. To find the volume between the two spheres, we need to subtract the volume of the inner sphere from the volume of the outer sphere.

Step 1: Convert the diameters to radii. The radius of the inner sphere is 1.9 meters / 2 = 0.95 meters. The radius of the outer sphere is 25 meters / 2 = 12.5 meters.

Step 2: Calculate the volume of the outer and inner spheres using the formula for volume of a sphere.

• Volume of outer sphere: Vouter = (4/3) π (12.5^3)
• Volume of inner sphere: Vinner = (4/3) π (0.95^3)

Step 3: Subtract the volume of the inner sphere from the volume of the outer sphere to find the volume between the two spheres.

Step 4: Calculate the final answer and round to two decimal places.