Surface Area of a Cone 4 foot by 13 inches Calculator
If the cone Radius 4 foot by height 13 inches is 102.2899661 foot2 or 14729.7551278 inches2.
The surface area of a cone is equal to the area of the base plus the area of the cone. If the cone Radius 4 foot by height 13 inches is 102.2899661 foot2 or 14729.7551278 inches2.
Surface Area of a Cone 4 ft by 13 in in other units
| Value | unit |
|---|---|
| 0.031178 | km2 |
| 0.0193731 | mi2 |
| 31.1779817 | m2 |
| 102.2899661 | ft2 |
| 1227.4795932 | in2 |
| 34.0966554 | yd2 |
| 3117.7981667 | cm2 |
| 31177.9816673 | mm2 |
Steps:
Given that Base radius(r) = 4 ft and height(h) = 13 in
Surface Area of a Cone = $(π⋅(Radius))$⋅($(Radius)$ + $\sqrt{(Radius)^2+(Height)^2}$)
Substitute the values of the radius r = 4 ft and height h = 13 in into the formula. Pi (π) is approximately equal to 3.14 .
Unit Conversion of 13 in = 1.0833333 ft
13 Inches is 1.0833333 feet
To convert Inches to Feet
we know that, 1 Inches = 0.0833333 Feet or
1 Foot = 1/12 foot
To convert Inches to Feet, divide the inche value by 12.
Result in Foot: 13 × in/12 × ft/in
Cancel The Comman factor of in
Result in Feet: $13\above 1pt12$
Divide the 13 by 12
Result in Feet: 1.0833333 feet
∴ 13 Inches = 1.0833333 feet
$(π⋅(4))$⋅ $(4$ + $\sqrt{(4)^2 + (1.0833333)^2})$ ft
Move 4 to the left of π.
$(4π)$⋅$ (4$ + $\sqrt{(4)^2 + (1.0833333)^2}$
Simplify each term
Raise 4 ft to the power of 2 and 1.0833333 to the power of 2
$(4π)$⋅$ (4$ + $\sqrt{(16.0) + (1.173611)}$ ft
Add 16.0 ft and 1.173611 ft
$(4π)$ ft⋅$ (4$ + $\sqrt{(17.173611)}$ ft
Multipy 4π ft and 4 ft
16.0π ft + (4π . $\sqrt{ 17.173611 }$) ft
Put the value of $\sqrt{ 17.173611 }$ = 4.1441056 in formula
16.0π ft + (4π . 4.1441056) ft
Mulitply the 4π and 4.1441056
16.0π ft + (16.5764223π)
Add 16.0π ft and 16.5764223π ft
The result can be shown in multiple forms
Exact Form
Area = 32.5764223π ft
∴ Surface Area of Cone 4 ft by 13 in is 32.5764223π ft2
Decimal Form
102.2899661 ft2
∴ Surface Area of Cylinder 4 ft by 13 in is 102.2899661 ft2
or
Unit Conversion of 4 ft = 48.0 in
4 Foot is 48.0 inches
To convert Foot to Inches
we know that, 1 Foot = 12 inches
To convert Foot to inches, multiply the foot value by 12.
Result in Foot: 4 ft × 12 × in/ft
Cancel The Comman factor of ft
Result in Inches: (4 x 12 in)
Multiply 4 into 12
Result in Inches: 48.0 inches
∴ 4 Foot = 48.0 inches
$(π⋅(48.0))$⋅ $(48.0$ + $\sqrt{(48.0)^2 + (13)^2})$ in
Move 48.0 to the left of π.
$(48.0π)$⋅$ (48.0$ + $\sqrt{(48.0)^2 + (13)^2}$
Simplify each term
Raise 48.0 in to the power of 2 and 13 to the power of 2
$(48.0π)$⋅$ (48.0$ + $\sqrt{(2304.0) + (169.0)}$ in
Add 2304.0 in and 169.0 in
$(48.0π)$ in ⋅ $ (48.0$ + $\sqrt{(2473.0)}$ in
Multipy 48.0π in and 48.0 in
2304.0π in + (48.0π . $\sqrt{ 2473.0 }$) in
Put the value of $\sqrt{2473.0}$ = 49.729267 in formula
2304.0π in + (48.0π . 49.729267) in
Mulitply the 48.0π and 49.729267
2304.0π in + (2387.0048178π)
Add 2304.0π in and 2387.0048178π in
The result can be shown in multiple forms
Exact Form
Area = 4691.0048178π in
∴ Surface Area of Cone 4 ft by 13 in is 4691.0048178π ft2
Decimal Form
14729.7551278 in2
∴ Surface Area of Cylinder 4 ft by 13 in is 14729.7551278 ft2