Surface Area of a Cone 30 foot by 51 yards Calculator
If the cone Radius 30 foot by height 51 yards is 17513.0458146 foot2 or 1945.8939794 yards2.
The surface area of a cone is equal to the area of the base plus the area of the cone. If the cone Radius 30 foot by height 51 yards is 17513.0458146 foot2 or 1945.8939794 yards2.
Surface Area of a Cone 30 ft by 51 yd in other units
| Value | unit |
|---|---|
| 5.3379764 | km2 |
| 3.316873 | mi2 |
| 5337.9763643 | m2 |
| 17513.0458146 | ft2 |
| 210156.5497752 | in2 |
| 5837.6819382 | yd2 |
| 533797.636429 | cm2 |
| 5337976.3642901 | mm2 |
Steps:
Given that Base radius(r) = 30 ft and height(h) = 51 yd
Surface Area of a Cone = $(π⋅(Radius))$⋅($(Radius)$ + $\sqrt{(Radius)^2+(Height)^2}$)
Substitute the values of the radius r = 30 ft and height h = 51 yd into the formula. Pi (π) is approximately equal to 3.14 .
Unit Conversion of 51 yd = 153.0 ft
51 Yards is 153.0 foots
To convert Yards to Foot
we know that, 1 Yards = 3 Feet
To convert Yards to Foot, multiply the yard value by 3.
Result in Feet: 51 yd x 3 × ft/yd
Cancel The Comman factor of yd
Result in Feet: (51 x 3 ft)
Multiply 51 into 3
Result in Feet: 153.0 feets
∴ 51 Yards = 153.0 foots
$(π⋅(30))$⋅ $(30$ + $\sqrt{(30)^2 + (153.0)^2})$ ft
Move 30 to the left of π.
$(30π)$⋅$ (30$ + $\sqrt{(30)^2 + (153.0)^2}$
Simplify each term
Raise 30 ft to the power of 2 and 153.0 to the power of 2
$(30π)$⋅$ (30$ + $\sqrt{(900.0) + (23409.0)}$ ft
Add 900.0 ft and 23409.0 ft
$(30π)$ ft⋅$ (30$ + $\sqrt{(24309.0)}$ ft
Multipy 30π ft and 30 ft
900.0π ft + (30π . $\sqrt{ 24309.0 }$) ft
Put the value of $\sqrt{ 24309.0 }$ = 155.9134375 in formula
900.0π ft + (30π . 155.9134375) ft
Mulitply the 30π and 155.9134375
900.0π ft + (4677.4031257π)
Add 900.0π ft and 4677.4031257π ft
The result can be shown in multiple forms
Exact Form
Area = 5577.4031257π ft
∴ Surface Area of Cone 30 ft by 51 yd is 5577.4031257π ft2
Decimal Form
17513.0458146 ft2
∴ Surface Area of Cylinder 30 ft by 51 yd is 17513.0458146 ft2
or
Unit Conversion of 30 ft = 10.0 yd
30 Feet is 10.0 yards
To convert Feet to Yards
we know that, 1 Foot = 0.333333 or
1 Foot = 1/3 Yards
To convert Feet to Yards, divide the feet value by 3
Result in Yards: 30 × ft/yd × ft/yd
Cancel The Comman factor of ft
Result in Yards: 30/3 yd
Divide the 30 by 3
Result in Yards: 10.0 yards
∴ 30 Feet = 10.0 yards
$(π⋅(10.0))$⋅ $(10.0$ + $\sqrt{(10.0)^2 + (51)^2})$ yd
Move 10.0 to the left of π.
$(10.0π)$⋅$ (10.0$ + $\sqrt{(10.0)^2 + (51)^2}$
Simplify each term
Raise 10.0 yd to the power of 2 and 51 to the power of 2
$(10.0π)$⋅$ (10.0$ + $\sqrt{(100.0) + (2601.0)}$ yd
Add 100.0 yd and 2601.0 yd
$(10.0π)$ yd ⋅ $ (10.0$ + $\sqrt{(2701.0)}$ yd
Multipy 10.0π yd and 10.0 yd
100.0π yd + (10.0π . $\sqrt{ 2701.0 }$) yd
Put the value of $\sqrt{2701.0}$ = 51.9711458 in formula
100.0π yd + (10.0π . 51.9711458) yd
Mulitply the 10.0π and 51.9711458
100.0π yd + (519.7114584π)
Add 100.0π yd and 519.7114584π yd
The result can be shown in multiple forms
Exact Form
Area = 619.7114584π yd
∴ Surface Area of Cone 30 ft by 51 yd is 619.7114584π ft2
Decimal Form
1945.8939794 yd2
∴ Surface Area of Cylinder 30 ft by 51 yd is 1945.8939794 ft2