Answer:
Volume of cylinder B = 720 cm³
Step-by-step explanation:
Given:
A and B are similar cylinder
Height of cylinder B = 10 cm
Height of cylinder A = 5 cm
Area of the cross section for cylinder A = 18 cm²
Find:
Volume of cylinder B
Computation:
Area of the cross section for cylinder B = a
So,
(10/5)² = (a/18)
4 = a/18
Area of the cross section for cylinder B = 72 cm²
Volume of cylinder B = Area of the cross section for cylinder B x Height of cylinder B
Volume of cylinder B = 72 x 10
Volume of cylinder B = 720 cm³
The 2 equations are classified as Identities because both sides remain the same for all values of z.
<h3>How to Classify Equations?</h3>
1) We are given the equation;
23z + 19 = 3(5z - 9) + 8z + 46
Let us try z = 0
23(0) + 19 = 3(5(0) - 9) + 8(0) + 46
19 = -27 + 46
19 = 19
Let us try z = 5;
23(5) + 19 = 3(5(5) - 9) + 8(5) + 46
134 = 48 + 40 + 46
134 = 134
Thus, this is an identity as both sides remaining the same for all values of z.
2) We are given the equation;
15y + 32 = 2(10y - 7) - 5y + 46
At y = 0, we have;
15(0) + 32 = 2(10(0) - 7) - 5(0) + 46
32 = -14 + 46
32 = 32
Let us try y = 2;
15(2) + 32 = 2(10(2) - 7) - 5(2) + 46
62 = 26 - 10 + 46
62 = 62
This is an identity as both sides remaining the same for all values of z.
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3 the answer is 3......................
Answer: The required equation is 
Step-by-step explanation: We are given to write the following statement as an equation :
"The sum of one-third of a number, one-half of a number and twice the number is thirty-four".
Let the number be represented by x.
Then, one-third of the number is
one-half of the number is
and twice the number is 
Therefore, as an equation, the given statement is written as:

Thus, the required equation is 
Answer:
Answer is A. 12
Step-by-step explanation:
Volume of a rectangular prism = Length * Width * Height
Volume of the rectangular prism = 
Length of the prism = 18cm
Width of the prism = 11cm
We need to find the Height of the Prism,
For that first make the Height as subject of the equation,
Height = [Volume of the rectangular prism/(Length * Width)]
=
/(18cm*11cm)
=
/
=
Therefore,
Answer is A. 12