The area of a cylinder's base is 706.5 square millimeters. the cylinder's lateral area is 471 square millimeters. what is the total surface area of the cylinder, in square centimeters?

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The area of a cylinder's base is 706.5 square millimeters. the cylinder's lateral area is 471 square millimeters. what is the total surface area of the cylinder, in square centimeters?

260/4 = 65 square inches is area of a side

area of a side = base*height/2 = base *13/2

65 = b*13/2

130=b*13

b = 10 so the side length equal 10 inches

area of base = 10*10 = 100

volume of a pyramid = area of base time height /3

(the height of pyramid)^2 = 13^2 - 5^2

h^2 = 169 -25 = 144

h = 12

V = area of base time height /3 = 100*12/3 = 400 cubic inches

hope this will help you

5.5 inches

Step-by-step explanation:

Since it is a hexagon, there is 6 faces. The total lateral area is 6 times area of one face. The area of one face is 12 times the width so the total is 6*12*width which equals 396. Dividing both sides by 6 gives you 12*width = 66. Dividing both sides by 12 gives you width = 5.5.

The slant height of the pyramid is [tex]9\ in[/tex]

Step-by-step explanation:

we know that

The lateral area of the square base pyramid is equal to

[tex]LA=4(\frac{1}{2}(b)(L))[/tex]

where

b is the length side of the base

L is the slant height of the pyramid

we have

[tex]LA=270\ in^{2}[/tex]

[tex]b=15\ in[/tex]

substitute the values and solve for L

[tex]270=4(\frac{1}{2}(15)(L))[/tex]

[tex]270=30(L)[/tex]

[tex]L=270/30=9\ in[/tex]

[tex]A_{L} = a \sqrt{a^{2} + 4h^{2}}[/tex]

'a' = base edge

'h' = height

It would be A, 18.84 ; )

24 sq.units is the answer

yee yee yee yee.

Step-by-step explanation:

Volume cylinder = 24501.42 m³

The surface area of the cone = 151.5 in²

The lateral area of the square pyramid = 352 in²

Step-by-step explanation:

∵ The volume of the cylinder = area base × height

∵ Its base is a circle

∴ V = πr² × h = 3.14 × (34/2)² × 27 = 24501.42 m³

∵ The surface area of the cone = 1/2 perimeter base × Slant height + area base

∵ Its base is a circle

∴ S.A = (1/2) × 2πr × l + πr²

∵ The slant height = [tex]\sqrt{7^{2}+(\frac{8}{2})^{2}} =\sqrt{65}[/tex]

∴ S.A = 3.14 × (8/2) × √65 + 3.14 × (8/2)² = 151.5 in²

∵ The lateral area of the square pyramid = 1/2 perimeter base × slant height

∵ Its base is a square

∴ L.A = 1/2 × (8 × 4) × 22 = 352 in²

11.2

Step-by-step explanation:

The base of a lampshade is a regular hexagon with a height of 12 inches for each lateral face. The lateral area is 396 square inches. Determine the length of each side of the base

Just add the two bases plus the lateral area. so it would be 706.5+706.5+471.