Answer: the height of the water after the sphere is placed in
it is 33.33 cm
Step-by-step explanation:
The cylinder is called a right circular cylinder because its height make a right angle with its base. The formula for determining the volume of the cylinder is expressed as
Volume = πr^2h
Where
π is a constant whose value is 3.14
r represents the radius of the cylinder.
h represents the height of the cylinder.
From the information given,
r = 10 cm
h = height of water in the cylinder = 20 cm
Volume of water in the cylinder before the sphere was placed in it would be
V = 3.14 × 10^2 × 20 = 6280 cm^3
The formula for determining the volume of the sphere is expressed as
Volume = 4/3 πr^3
V = 4/3 × 3.14 × 10^3 = 4186.67cm^3
Total volume of the sphere and the cylinder = 6280 + 4186.67 = 10466.67 cm^2
To determine the new height of the water,
10466.67 = 3.14 × 10^2× h
h = 10466.67/314 = 33.33 cm
To find the answer, combine like terms:
3p + p = 4p
4 + 12 = 16
3q has no like terms so it stays the same.
Now put them all together:
4p + 3q + 16 = Option A).
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 :)
Answer:
You can solve this by having 2 different equations and setting both of them to 180 because they are supplemetnary anhles
Step-by-step explanation:
so for abc the equation= 180, then solve
then for the other angle cbd=180, then solve
