Surface Area and Volume of Spherical Objects help?

Question

For this assignment, you will be finding the surface area and the volume of three different spherical objects.  You will need to find three objects and measure the distance around the center using a ruler or tape measure.  Show all work!

Step 1: Find 3 spherical objects around your house.  These can be anything from a ball to candle (Be creative!!).  Try to pick a variety of sizes.  

Step 2: Sketch each figure and label the distance around the center (This is the circumference of the largest circular cross section of the sphere).  Label with appropriate units.  

Step 3: The measurement you just found is the circumference.  Calculate the radius of the sphere.  

Step 4: Find the surface area of each object.  Show all work and label your answers appropriately.  

Step 5: Find the volume of each object.  Show all work and label your answers appropriately.

Answer 1

Step 1:

Consider three spherical objects as foot ball, marble and globe.

Foot ball is having a circumference of 60 cm.

Marble is having a circumference of 4 cm.

Globe is having a circumference of 10 cm.

Step 2:

Foot ball:

Marble:

Globe:

Step 3:

Find the radius of each sphere.

Circumference of the foot ball is 60 cm.

Circumference of the sphere is .

Radius of the football is  cm.

Circumference of the marble is 4 cm.

Radius of the marble is  cm.

Circumference of the globe is 10 cm.

Radius of the globe is  cm.

Step 4:

Find the surface area of each sphere.

Surface area of the sphere is .

Find the surface area of foot ball.

Surface area of foot ball is  sq.cm.

Find the surface area of marble.

Surface area of marble is  sq.cm.

Find the surface area of orange.

Surface area of globe is  sq.cm.

Step 5:

Find the Volume of each sphere.

Volume of the sphere is .

Find the volume of the foot ball.

Volume of the football is  cubic cm.

Find the volume of the marble.

Volume of the marble is 1.047 cubic cm.

Find the volume of the globe.

Volume of the globe is  cubic cm.

Solution:

Foot ball:

Radius of the football is  cm.

Surface area of foot ball is  sq.cm.

Volume of the football is  cubic cm.

Marble:

Radius of the marble is  cm.

Surface area of marble is  sq.cm.

Volume of the marble is 1.047 cubic cm.

Globe:

Radius of the globe is  cm.

Surface area of globe is  sq.cm.

Volume of the globe is  cubic cm.