Surface Area of a Cone 4 foot by 6 inches Calculator
If the cone Radius 4 foot by height 6 inches is 100.8709787 foot2 or 14525.4209269 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 6 inches is 100.8709787 foot2 or 14525.4209269 inches2.
Surface Area of a Cone 4 ft by 6 in in other units
| Value | unit |
|---|---|
| 0.0307455 | km2 |
| 0.0191044 | mi2 |
| 30.7454743 | m2 |
| 100.8709787 | ft2 |
| 1210.4517444 | in2 |
| 33.6236596 | yd2 |
| 3074.5474308 | cm2 |
| 30745.4743078 | mm2 |
Steps:
Given that Base radius(r) = 4 ft and height(h) = 6 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 = 6 in into the formula. Pi (π) is approximately equal to 3.14 .
Unit Conversion of 6 in = 0.5 ft
6 Inches is 0.5 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: 6 × in/12 × ft/in
Cancel The Comman factor of in
Result in Feet: $6\above 1pt12$
Divide the 6 by 12
Result in Feet: 0.5 feet
∴ 6 Inches = 0.5 feet
$(π⋅(4))$⋅ $(4$ + $\sqrt{(4)^2 + (0.5)^2})$ ft
Move 4 to the left of π.
$(4π)$⋅$ (4$ + $\sqrt{(4)^2 + (0.5)^2}$
Simplify each term
Raise 4 ft to the power of 2 and 0.5 to the power of 2
$(4π)$⋅$ (4$ + $\sqrt{(16.0) + (0.25)}$ ft
Add 16.0 ft and 0.25 ft
$(4π)$ ft⋅$ (4$ + $\sqrt{(16.25)}$ ft
Multipy 4π ft and 4 ft
16.0π ft + (4π . $\sqrt{ 16.25 }$) ft
Put the value of $\sqrt{ 16.25 }$ = 4.0311289 in formula
16.0π ft + (4π . 4.0311289) ft
Mulitply the 4π and 4.0311289
16.0π ft + (16.1245155π)
Add 16.0π ft and 16.1245155π ft
The result can be shown in multiple forms
Exact Form
Area = 32.1245155π ft
∴ Surface Area of Cone 4 ft by 6 in is 32.1245155π ft2
Decimal Form
100.8709787 ft2
∴ Surface Area of Cylinder 4 ft by 6 in is 100.8709787 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
$(π⋅(48.0))$⋅ $(48.0$ + $\sqrt{(48.0)^2 + (6)^2})$ in
Move 48.0 to the left of π.
$(48.0π)$⋅$ (48.0$ + $\sqrt{(48.0)^2 + (6)^2}$
Simplify each term
Raise 48.0 in to the power of 2 and 6 to the power of 2
$(48.0π)$⋅$ (48.0$ + $\sqrt{(2304.0) + (36.0)}$ in
Add 2304.0 in and 36.0 in
$(48.0π)$ in ⋅ $ (48.0$ + $\sqrt{(2340.0)}$ in
Multipy 48.0π in and 48.0 in
2304.0π in + (48.0π . $\sqrt{ 2340.0 }$) in
Put the value of $\sqrt{2340.0}$ = 48.3735465 in formula
2304.0π in + (48.0π . 48.3735465) in
Mulitply the 48.0π and 48.3735465
2304.0π in + (2321.9302315π)
Add 2304.0π in and 2321.9302315π in
The result can be shown in multiple forms
Exact Form
Area = 4625.9302315π in
∴ Surface Area of Cone 4 ft by 6 in is 4625.9302315π ft2
Decimal Form
14525.4209269 in2
∴ Surface Area of Cylinder 4 ft by 6 in is 14525.4209269 ft2