Created By : Abhinandan Kumar

Reviewed By : Rajashekhar Valipishetty

Last Updated : May 30, 2023


Enter the value of base radius(r)

Enter the Value of height(h)


If the cone Radius 21 foot by height 49 yards is 11176.3304418 foot2 or 1241.8144935 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 21 foot by height 49 yards is 11176.3304418 foot2 or 1241.8144935 yards2.


    Surface Area of a Cone 21 ft by 49 yd in other units

Value unit
3.4065455 km2
2.1167345 mi2
3406.5455187 m2
11176.3304418 ft2
134115.9653016 in2
3725.4434806 yd2
340654.5518661 cm2
3406545.5186606 mm2

Steps:

Given that Base radius(r) = 21 ft and height(h) = 49 yd

Surface Area of a Cone = $(π⋅(Radius))$⋅($(Radius)$ + $\sqrt{(Radius)^2+(Height)^2}$)

Substitute the values of the radius r = 21 ft and height h = 49 yd into the formula. Pi (π) is approximately equal to 3.14 .

      Unit Conversion of 49 yd = 147.0 ft

49 Yards is 147.0 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: 49 yd x 3 × ft/yd

Cancel The Comman factor of yd

Result in Feet: (49 x 3 ft)

Multiply 49 into 3

Result in Feet: 147.0 feets

∴ 49 Yards = 147.0 foots


$(π⋅(21))$⋅ $(21$ + $\sqrt{(21)^2 + (147.0)^2})$ ft

Move 21 to the left of π.

$(21π)$⋅$ (21$ + $\sqrt{(21)^2 + (147.0)^2}$

Simplify each term

Raise 21 ft to the power of 2 and 147.0 to the power of 2

$(21π)$⋅$ (21$ + $\sqrt{(441.0) + (21609.0)}$ ft

Add 441.0 ft and 21609.0 ft

$(21π)$ ft⋅$ (21$ + $\sqrt{(22050.0)}$ ft

Multipy 21π ft and 21 ft

441.0π ft + (21π . $\sqrt{ 22050.0 }$) ft


Put the value of $\sqrt{ 22050.0 }$ = 148.492424 in formula

441.0π ft + (21π . 148.492424) ft

Mulitply the 21π and 148.492424

441.0π ft + (3118.340905π)

Add 441.0π ft and 3118.340905π ft

The result can be shown in multiple forms

Exact Form

Area = 3559.340905π ft

∴ Surface Area of Cone 21 ft by 49 yd is 3559.340905π ft2

Decimal Form

11176.3304418 ft2

∴ Surface Area of Cylinder 21 ft by 49 yd is 11176.3304418 ft2

or

      Unit Conversion of 21 ft = 7.0 yd

21 Feet is 7.0 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: 21 × ft/yd × ft/yd

Cancel The Comman factor of ft

Result in Yards: 21/3 yd

Divide the 21 by 3

Result in Yards: 7.0 yards

∴ 21 Feet = 7.0 yards


$(π⋅(7.0))$⋅ $(7.0$ + $\sqrt{(7.0)^2 + (49)^2})$ yd

Move 7.0 to the left of π.

$(7.0π)$⋅$ (7.0$ + $\sqrt{(7.0)^2 + (49)^2}$

Simplify each term

Raise 7.0 yd to the power of 2 and 49 to the power of 2

$(7.0π)$⋅$ (7.0$ + $\sqrt{(49.0) + (2401.0)}$ yd

Add 49.0 yd and 2401.0 yd

$(7.0π)$ yd ⋅ $ (7.0$ + $\sqrt{(2450.0)}$ yd

Multipy 7.0π yd and 7.0 yd

49.0π yd + (7.0π . $\sqrt{ 2450.0 }$) yd

Put the value of $\sqrt{2450.0}$ = 49.4974747 in formula

49.0π yd + (7.0π . 49.4974747) yd

Mulitply the 7.0π and 49.4974747

49.0π yd + (346.4823228π)

Add 49.0π yd and 346.4823228π yd

The result can be shown in multiple forms

Exact Form

Area = 395.4823228π yd

∴ Surface Area of Cone 21 ft by 49 yd is 395.4823228π ft2

Decimal Form

1241.8144935 yd2

∴ Surface Area of Cylinder 21 ft by 49 yd is 1241.8144935 ft2