Find the missing exponent

The lateral area of a cylinder is 325 pi inch^2. The radius is 13 in. Find the surface area and volume. Please show all work!!!

USPshnik [31]

Answer:

Surface area = 663π in².
Volume = (676/3)π in² ≈ 225.33 π in²

Explanation:

1) We know the radius and the lateral area.

2) With the radius you can find the areas of the top and the bottom.

For that, you use the formula:

area of the top = area of the bottom = π r²

∴ π (13 in)² = 169π in² (each)

3) Then, the surface area is the sum of the lateral area and the two bases (top and bottom)

surface area = lateral area + bottom area + top area = 325π in² + 2×169π in² = 663π in².

3) You can also find the height of the cylinder.

Use the formula: lateral area = 2π r h

∴ h = lateral area / [2 π r]

⇒ h = 325 π / [ 2π (13) ] = 12.5 in

4) With the height you can find the volume.

Use the formula: V = (4/3) π r³

∴ V = (4/3) π (13 in)³ = (676/3)π in² ≈ 225.33 π in²

8 0

3 years ago

HELP PLS!!!!!!!!!!!!!!!!!!!

Rama09 [41]

Domain: {-5, 7}
Range: {-9, 4, 8}

6 0

3 years ago

In AIJK, the measure of K=90°, IJ = 8.6 feet, and KI = 4.5 feet. Find

azamat

Answer:

58.4

Step-by-step explanation:

delta math give up

3 0

3 years ago

Help please quickly!!!!!!1

IgorLugansk [536]

Answer:

$9$

Step-by-step explanation:

As per the problem, the given triangle is a right triangle. This is signified by the box around one of its angles, this box states that the angle it is surrounding is a right angle.

Since it is a right triangle, one can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states that; ( $a^2 + b^2 = c^2$ ), where ( $a$ ) and ( $b$ ) are the legs of the right triangle, or the sides adjacent to the right angle. ( $c$ ) is the hypotenuse or the side opposite the right angle.