The diagram shows a rocket that consists of a cone placed on top of a cylinder. find surface area of the rocket.

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1224.6 m²

Step-by-step explanation:

We'll begin by calculating the surface area of the cone. This can be obtained as follow:

Slant height (l) = 13 m

Radius (r) = 5 m

Pi (π) = 3.14

Surface Area (SA) of cone =?

The surface area of a cone can be obtained by using the following formula:

SA (cone) = πrl + πr²

SA (cone) = πr(l + r)

SA (cone) = 3.14 × 5 ( 13 + 5)

SA (cone) = 15.7 × 18

SA (cone) = 282.6 m²

Next, we shall determine the surface area of the cylinder. This can be obtained as follow:

Height (h) = 25 m

Radius (r) = 5 m

Pi (π) = 3.14

Surface Area (SA) of cylinder =?

The surface area (SA) of cylinder can be obtained as follow:

SA (cylinder) = 2πr² + 2πrh

SA (cylinder) = 2πr(r + h)

SA (cylinder) = 2 × 3.14 × 5 (5 + 25)

SA (cylinder) = 31.4 × 30

SA (cylinder) = 942 m²

Finally, we shall determine the surface area of the rocket. This can be obtained as follow:

SA (cone) = 282.6 m²

SA (cylinder) = 942 m²

Surface Area of rocket (SA rocket) =?

SA (Rocket) = SA (cone) + SA (cylinder)

SA (Rocket) = 282.6 + 942

SA (Rocket) = 1224.6 m²

Therefore, the surface area of the rocket is 1224.6 m²

the answer to the expression is 83