Answer:
729 m³
Step-by-step explanation:
Volume of a cube (or a rectangular prism) formula:
lwh
l is length
w is width
h is height
Here, the length, width, and height measures 9 m.
So
9 × 9 × 9 or 9³ = 729
Since all the volume of the liquid will be contained by all 30 spheres then,
30 V = 3392.92
where V is the volume of each sphere
Solving for V
V = 113.0973
The formula for the volume of the sphere is:
V = (4/3) π r³
Since diameter, D = 2r
V = (4/3) π (D/2)³
V = (4/3) π (1/8) D³
V = (1/6) π D³
Since V = 113.0937
113.0937 = (1/6) π D³
D = 6
<span>Therefore, the diameter is 6 inches </span>
Answer:
Option A & D are correct Option.
Step-by-step explanation:
We are given with following :
Area of Base = 15 in.²
Height of Prism = 3 in.
Length of edge of base = 5 in.
Volume of Prism = Area of Base × Height = 15 × 3 = 45 in.³
Therefore, Option A & D are correct Option.
Answer: angle A = 72 and angle C = 72
Step-by-step explanation:
Angle A and C are opposites so they have to equal each other so do the equation 3y+27=5y-3. y would come out to be 15 and so to find the angles you would replace y with 15.
