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2 years ago

Which equation can be used to find the surface area of the cylinder?

Mathematics

2 answers:

vodka [1.7K]2 years ago

6 0

Answer:

S = 2 pi (3) squared + 2 pi (3) (14)

Step-by-step explanation:

The formula for the area of a circle is ...

A = πr²

The cylinder has two circular bases with radius 3 cm, so their combined area in square centimeters is ...

A = 2π(3²) . . . . . . matches a term in the last choice

The lateral area of the cylinder is the product of the height and the circumference of the base. That is ...

A = 2πrh

For the given radius and height, the lateral area in square centimeters is ...

A = 2π(3)(14) . . . . . . matches a term in the last choice

The total surface area is the sum of the areas of the bases and the lateral area, so is ...

S = 2π(3²) +2π(3)(14) . . . . . matches the last choice

_____

<em>Comment on answer choices</em>

We could choose the correct answer based solely on the area of the bases of the cylinder.

ira [324]2 years ago

6 0

Answer:

S = 2 pi (3) squared + 2 pi (3) (14)

Step-by-step explanation:

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3 years ago

1. In triangle ABC, if AB = 3cm, BC = 4cm and AC = 5cm Find

Veseljchak [2.6K]

Answer:

Step-by-step explanation:

A) The diagram of the triangle is shown in the attached photo

The lengths of the given triangle form a Pythagoras triple. This means that the square of the longest side equals the sum of the squares of the two shorter sides.

Area = 1/2 × base × height

Height = 3 cm

Base = 4 cm

Area = 1/2 × 3 × 4 = 6 cm²

B) The altitudes can be AB or BC. Therefore, the length of the shortest altitude is AB = 3 cm

The diagonal is the same as the hypotenuse which is also the longest side of the triangle. Thus,

Length of diagonal = 5 cm

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