Answer:
The volume of the sphere is 
Step-by-step explanation:
we know that
The volume of cylinder is equal to

we have

substitute

simplify
Remember that
A sphere and a cylinder have the same radius and height
so
The height of cylinder is equal to the diameter of sphere
h=2r
substitute
-----> equation A
The volume of the sphere is equal to

substitute equation A in the formula of the volume of sphere


The bag contains $2.39
Explanation 40% of 50 coins is 20 dimes which equals 2 dollars
8 percent is 4 pennies
2.00+ .04 is 2.04
Plus 7 nickels because there are 3 more nickels than pennies 7*5= 35
2.04+.35= 2.39
Answer:
21.4 units
Step-by-step explanation:
Greater angle: 180 - 80 = 100
diagonal² = 14² + 14² - 2(14)(14)cos(100)
diagonal² = 460.0700856454
diagonal = 21.4492444073
Answer:
A) Volume of Prism = 48 ft cubed
B) Volume of Pyramid = 16 ft cubed
C) 1/3
This equation is true for all rectangular prisms and rectangular pyramids with the same length, same width, and same height.
Step-by-step explanation:
1) find the volume of the prism
2) volume of a prism = Length x Width x Height
3) 4 x 2 x 6 = 48
4) find the volume of the pyramid
5) volume of a pyramid = Length x Width x Height divided by 3
6) 4 x 2 x 6 = 48 divided by 3 = 16
Hope this helps :)