# The area of a cylinder’s base is 706.5 square millimeters. the cylinder’s lateral area is 471 square

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?

## This Post Has 10 Comments

1. torres34038 says:

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

2. keshewar4737 says:

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.

3. carelee9449 says:

The slant height of the pyramid is $9\ in$

Step-by-step explanation:

we know that

The lateral area of the square base pyramid is equal to

$LA=4(\frac{1}{2}(b)(L))$

where

b is the length side of the base

L is the slant height of the pyramid

we have

$LA=270\ in^{2}$

$b=15\ in$

substitute the values and solve for L

$270=4(\frac{1}{2}(15)(L))$

$270=30(L)$

$L=270/30=9\ in$

4. N72967 says:

$A_{L} = a \sqrt{a^{2} + 4h^{2}}$

'a' = base edge
'h' = height

5. mmaglaya1 says:

It would be A, 18.84      ; )

6. gudon986732 says:

7. debnkids691 says:

yee yee yee yee.

Step-by-step explanation:

8. Fireburntbudder says:

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 = $\sqrt{7^{2}+(\frac{8}{2})^{2}} =\sqrt{65}$

∴ 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

9. jess6142 says:

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

10. jeanieb says:

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