Surface Area of a Cone 42 foot by 39 yards Calculator
If the cone Radius 42 foot by height 39 yards is 21932.9754777 foot2 or 2436.9972753 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 42 foot by height 39 yards is 21932.9754777 foot2 or 2436.9972753 yards2.
Surface Area of a Cone 42 ft by 39 yd in other units
| Value | unit |
|---|---|
| 6.6851709 | km2 |
| 4.153983 | mi2 |
| 6685.1709256 | m2 |
| 21932.9754777 | ft2 |
| 263195.7057324 | in2 |
| 7310.9918259 | yd2 |
| 668517.0925603 | cm2 |
| 6685170.925603 | mm2 |
Steps:
Given that Base radius(r) = 42 ft and height(h) = 39 yd
Surface Area of a Cone = $(π⋅(Radius))$⋅($(Radius)$ + $\sqrt{(Radius)^2+(Height)^2}$)
Substitute the values of the radius r = 42 ft and height h = 39 yd into the formula. Pi (π) is approximately equal to 3.14 .
Unit Conversion of 39 yd = 117.0 ft
39 Yards is 117.0 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: 39 yd x 3 × ft/yd
Cancel The Comman factor of yd
Result in Feet: (39 x 3 ft)
Multiply 39 into 3
Result in Feet: 117.0 feets
∴ 39 Yards = 117.0 foots
$(π⋅(42))$⋅ $(42$ + $\sqrt{(42)^2 + (117.0)^2})$ ft
Move 42 to the left of π.
$(42π)$⋅$ (42$ + $\sqrt{(42)^2 + (117.0)^2}$
Simplify each term
Raise 42 ft to the power of 2 and 117.0 to the power of 2
$(42π)$⋅$ (42$ + $\sqrt{(1764.0) + (13689.0)}$ ft
Add 1764.0 ft and 13689.0 ft
$(42π)$ ft⋅$ (42$ + $\sqrt{(15453.0)}$ ft
Multipy 42π ft and 42 ft
1764.0π ft + (42π . $\sqrt{ 15453.0 }$) ft
Put the value of $\sqrt{ 15453.0 }$ = 124.3100961 in formula
1764.0π ft + (42π . 124.3100961) ft
Mulitply the 42π and 124.3100961
1764.0π ft + (5221.0240375π)
Add 1764.0π ft and 5221.0240375π ft
The result can be shown in multiple forms
Exact Form
Area = 6985.0240375π ft
∴ Surface Area of Cone 42 ft by 39 yd is 6985.0240375π ft2
Decimal Form
21932.9754777 ft2
∴ Surface Area of Cylinder 42 ft by 39 yd is 21932.9754777 ft2
or
Unit Conversion of 42 ft = 14.0 yd
42 Feet is 14.0 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: 42 × ft/yd × ft/yd
Cancel The Comman factor of ft
Result in Yards: 42/3 yd
Divide the 42 by 3
Result in Yards: 14.0 yards
∴ 42 Feet = 14.0 yards
$(π⋅(14.0))$⋅ $(14.0$ + $\sqrt{(14.0)^2 + (39)^2})$ yd
Move 14.0 to the left of π.
$(14.0π)$⋅$ (14.0$ + $\sqrt{(14.0)^2 + (39)^2}$
Simplify each term
Raise 14.0 yd to the power of 2 and 39 to the power of 2
$(14.0π)$⋅$ (14.0$ + $\sqrt{(196.0) + (1521.0)}$ yd
Add 196.0 yd and 1521.0 yd
$(14.0π)$ yd ⋅ $ (14.0$ + $\sqrt{(1717.0)}$ yd
Multipy 14.0π yd and 14.0 yd
196.0π yd + (14.0π . $\sqrt{ 1717.0 }$) yd
Put the value of $\sqrt{1717.0}$ = 41.4366987 in formula
196.0π yd + (14.0π . 41.4366987) yd
Mulitply the 14.0π and 41.4366987
196.0π yd + (580.1137819π)
Add 196.0π yd and 580.1137819π yd
The result can be shown in multiple forms
Exact Form
Area = 776.1137819π yd
∴ Surface Area of Cone 42 ft by 39 yd is 776.1137819π ft2
Decimal Form
2436.9972753 yd2
∴ Surface Area of Cylinder 42 ft by 39 yd is 2436.9972753 ft2