Question

(1) If A = 2πr², then solve for ‘r’ and find the value of ‘r’ when A = 77 and

(2) If V = πr²h, then solve for ‘r’ and find the value of ‘r’ when V = 176 and h = 14

(3) If r² = l² + d², then solve for ‘d’ and find the value of ‘d’ when r = 5 and l = 4.

(4) If c² = a² + b², then solve for ‘b’. If a = 8 and c = 17, find the value of ‘b’.

(5) If K = ½ mv², then solve for ‘v’ and find the value of ‘v’ when K = 100 and m = 2.

(6) If v² = u² + 2as, solve for ‘v’. If u = 0, a = 2 and s = 100, find the value of v.

Answer 1

(1)

We need to find r, when A = 77 and π =

When A = 77 and π = :

Hence, the value of r is.

(2)

We need to find r, where V = 176 and h = 14.

When V = 176 and h = 14:

Hence, the value of r is.

(3)

We need to find d, where r = 5 and l = 4.

When r = 5 and l = 4:

Hence, the value of d is.

(4)

We need to find b, where a = 8 and c = 17.

The quadratic equationcan be solved as:

When a = 8 and c = 17:

Hence, the value of b is.

(5) .

We need to find v, where K = 100 and m = 2.

When K = 100 and m = 2:

Hence, the value of v is.

(6)

We need to find v, where u = 0, a = 2 and s = 100.

The quadratic equationcan be solved as:

When u = 0, a = 2 and s = 100:

Hence, the value of v is.