Question

Convert the following Java expressions into Arithmetic expressions :- [1x5=5]

i) Math.pow (x,3) + x*y*z + math.pow (y,4)

ii) Math.sqrt (l*l + b*b)

iii) D = Math.sqrt (2) * S

iv) SA = 2* (l*b + b*h + h*l)

v) V = 1/3 * p* math.pow (r,2) *h​

Answer 1

Answer:

The arithmetic expression for the given Java expressions are -

• x³ + xyz + y⁴

• √(l² + b²)

• D = S√2

• SA = 2(lb + bh + hl)

• V = 1/3 pr²h

Explanation:

• Math.pow(x, 3) returns x raised to the power 3.
• x*y*z is the product of x, y and z.
• Math.pow(y, 4) returns y raised to the power 4.

So, the arithmetic expression will be,

= x³ + xyz + y⁴

• Math.sqrt(l² + b²) returns the square root of l² + b².

So, arithmetic expression will be,

= √(l² + b²) [Note that l² + b² is written under radical sign]

• Math.sqrt(2) finds the square root of 2.
• Result of √2 is multiplied with S and stored in D.

So, arithmetic expression will be,

➡ D = √2S

• l*b, b*h and h*l are the products of (l, b), (b, h) and (h, l)
• Result of (lb + bh + lh) is multiplied by 2 and is stored in SA.

So, the arithmetic expression will be,

SA = 2(lb + bh + hl)

• Value of V is equal to 1/3 multiplied with p, r² and h.

So, arithmetic expression will be,

V = 1/3pr²h