Question

For the given solid figure, find the value of the variable

Answer 1

Answer:

The value of the variable c is 10cm

Step-by-step explanation:

In this question, we are asked to find the value of the variable C.

From the diagram, we can see that we have the radius of the cylinder and the height of the cylinder.

Now, looking at what we are to calculate, we can see that we have a right-angled triangle, with the height and diameter( 2 * radius = 2 * 3 = 7cm) of the cylinder being the two sides of the triangle formed.

Please check attachment for a diagram of the cut-out right angled triangle

To find the value of c, we employ the use of pythagoras’ theorem. This states that in a right angled triangle [( where one of the three angles in the triangle = 90), the square of the hypotenuse equals the sum of the squares of the other two sides , where the hypotenuse is the longest side and it faces the angle 90)]

Mathematically;

c^2 = 8^2 + 6^2

c^2 = 64 + 36

c^2 = 100

c = √100

c = 10cm