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 33 foot by height 10 meters is 8241.288535 foot2 or 765.6407513 meters2.


The surface area of a cone is equal to the area of the base plus the area of the cone. If the cone Radius 33 foot by height 10 meters is 8241.288535 foot2 or 765.6407513 meters2.


    Surface Area of a Cone 33 ft by 10 m in other units

Value unit
2.5119447 km2
1.560854 mi2
2511.9447455 m2
8241.288535 ft2
98895.46242 in2
2747.0961783 yd2
251194.4745468 cm2
2511944.745468 mm2

Steps:

Given that Base radius(r) = 33 ft and height(h) = 10 m

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

Substitute the values of the radius r = 33 ft and height h = 10 m into the formula. Pi (π) is approximately equal to 3.14 .

      Unit Conversion of 10 m = 32.8084 ft

10 Meters is 32.8084 foot

To convert Meters to Foot

we know that, 1 Meter = 3.28084 Foot

To convert Meter to Foot, multiply the meter value by 3.28084.

Result in Foot: 10 m × 3.28084 × ft/m

Cancel The Comman factor of m

Result in Foot: (10 x 3.28084 ft)

Multiply 10 into 3.28084

Result in Foot: 32.8084 foot

∴ 10 Meters = 32.8084 foot


$(π⋅(33))$⋅ $(33$ + $\sqrt{(33)^2 + (32.8084)^2})$ ft

Move 33 to the left of π.

$(33π)$⋅$ (33$ + $\sqrt{(33)^2 + (32.8084)^2}$

Simplify each term

Raise 33 ft to the power of 2 and 32.8084 to the power of 2

$(33π)$⋅$ (33$ + $\sqrt{(1089.0) + (1076.3911106)}$ ft

Add 1089.0 ft and 1076.3911106 ft

$(33π)$ ft⋅$ (33$ + $\sqrt{(2165.3911106)}$ ft

Multipy 33π ft and 33 ft

1089.0π ft + (33π . $\sqrt{ 2165.3911106 }$) ft


Put the value of $\sqrt{ 2165.3911106 }$ = 46.5337631 in formula

1089.0π ft + (33π . 46.5337631) ft

Mulitply the 33π and 46.5337631

1089.0π ft + (1535.6141831π)

Add 1089.0π ft and 1535.6141831π ft

The result can be shown in multiple forms

Exact Form

Area = 2624.6141831π ft

∴ Surface Area of Cone 33 ft by 10 m is 2624.6141831π ft2

Decimal Form

8241.288535 ft2

∴ Surface Area of Cylinder 33 ft by 10 m is 8241.288535 ft2

or

      Unit Conversion of 33 ft = 10.0584 m

33 Foot is 10.0584 meters

To convert Feet to Meter

we know that, 1 Foot = 0.3048 Meter

To convert Foot to meters, multiply the feet value by 0.3048.

Result in Meter: 33 ft × 0.3048 × m/ft

Cancel The Comman factor of ft

Result in Meters: (33 x 0.3048 m)

Multiply 33 into 0.3048

Result in Meters: 10.0584 meters

∴ 33 Foot = 10.0584 meters


$(π⋅(10.0584))$⋅ $(10.0584$ + $\sqrt{(10.0584)^2 + (10)^2})$ m

Move 10.0584 to the left of π.

$(10.0584π)$⋅$ (10.0584$ + $\sqrt{(10.0584)^2 + (10)^2}$

Simplify each term

Raise 10.0584 m to the power of 2 and 10 to the power of 2

$(10.0584π)$⋅$ (10.0584$ + $\sqrt{(101.17141056) + (100.0)}$ m

Add 101.1714106 m and 100.0 m

$(10.0584π)$ m ⋅ $ (10.0584$ + $\sqrt{(201.1714106)}$ m

Multipy 10.0584π m and 10.0584 m

101.1714106π m + (10.0584π . $\sqrt{ 201.1714106 }$) m

Put the value of $\sqrt{201.1714106}$ = 14.1834908 in formula

101.1714106π m + (10.0584π . 14.1834908) m

Mulitply the 10.0584π and 14.1834908

101.1714106π m + (142.6632236π)

Add 101.1714106π m and 142.6632236π m

The result can be shown in multiple forms

Exact Form

Area = 243.8346342π m

∴ Surface Area of Cone 33 ft by 10 m is 243.8346342π ft2

Decimal Form

765.6407513 m2

∴ Surface Area of Cylinder 33 ft by 10 m is 765.6407513 ft2