Find the surface area of the figure.
Use 3.14 for π and round to the nearest hundredth.
a. 489.84 m2
b. 263.83 m2
c. 501.86 m2
d. 376.82 m2

Given:

Given that the radius of the cylinder is 6 m.

The height of the cylinder is 7 m.

We need to determine the surface area of the cylinder.

Surface area of the cylinder:

The surface area of the cylinder can be determined using the formula,

where r is the radius and h is the height of the cylinder.

Substituting r = 6 and h = 7 in the above formula, we get;

Simplifying, we get;

Multiplying, we get;

Thus, the surface area of the cylinder is 489.84 square meters.

Hence, Option a is the correct answer.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.