Answer:
C. V = two-thirds (27)
Step-by-step explanation:
Given
Solid Shapes: Cylinder and Sphere
Volume of Cylinder = 27π ft³
Required
Volume of the sphere.
From the question,
<u>We have that</u>
1. The volume of the sphere is the same as the volume of the cylinder
2. The height of the sphere is the same as the height of the cylinder.
From (2) above;
This means that the height of the cylinder equals the diameter of the sphere.
Let h represent the height of the sphere and d represent the diameter of sphere.
Mathematical, d = h
Recall that radius, r = 
Substitute h for d in the above expression
. ----- (take note of this)
Calculating the volume of a cylinder.
V = πr²h
Recall that V = 27; This gives us
27 = πr²h
Divide both sides by h
-------------------
Calculating the volume of a sphere
Expand the above expression
Substitute
Recall that
So,
V = two-third (27)
The answer to the question is X=1/3
Volume of the prism = 75 cubic feet
Solution:
The image given is a rectangular prism (or) a cuboid.
Area of base = l × b = 25 square feet
Height of the prism = 3 feet
Volume of the prism = l × b × h
= (l × b) × h
= 25 × 3
= 75 cubic feet
Volume of the prism = 75 cubic feet
Hence, the volume of the prism is 75 cubic feet.
130-51 is 79 this is it D
Answer: it would cost a total of $194
Step-by-step explanation:
A ticket to a movie theatre for a student is $7. The cost for an adult is $2 more than for a student.
If student ticket costs $x, adult ticket would cost x + 2
This means that the cost for an adult is
7 + 2 = $9
The cost of 13 adult tickets to the movie theatre would be
13 × 9 = $117.
The cost of 11 student tickets to the movie theatre would be
11 × 7 = $77
Total cost of 13 adult tickets and 11 student tickets would be
117 + 77 = $194
