The value of .
Solution:
Given equations:
7x + 2y = 57 ---------- (1)
x + 2y = 5 ---------- (2)
Subtract 2y from both sides of the equation (2).
x = 5 – 2y ---------- (3)
Substitute equation (3) in equation (1).
7(5 – 2y) + 2y = 57
35 – 14y + 2y = 57
35 – 12y = 57
Subtract 35 from both sides of the equation.
–12y = 22
Divide by 12 on both sides.
Substitute y value in equation (3).
Hence the value of .
The volume of a piece of the cake will be 588.75 cm³.
The complete question is attached below.
<h3>What is Geometry?</h3>It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A birthday cake in the shape of the right-circular cylinder of radius 15 cm and thickness 10 cm is cut into smaller pieces.
One of the piece is shown.
Then the volume of piece of the cake will be
V = (30 / 360) x π x 15² × 10
V = 588.75 cm³
More about the geometry link is given below.
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