Q: What is the lateral area of a right circular cone if the diameter of the base is 4 meters and the slant height of the cone is 15 meters?

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First is to understand the terms. Lateral area is the surface area of a 3D figure, excluding the area of any base. Laterial Area (L.A.) of a right cone = pi*radius*slant height radius = 1/2 * diameter L.A. = pi*(1/2)*(4)*(15)=30*pi the formula for this is pi*r*rt(r^2 + h^2). If the diameter is 4, then the radius is 2. If the slant height is 15, then to get the real height we use the Pythagorean Theorem and get rt(221). So the lateral area is pi*2*rt(2^2 + (rt221)^2)...= 2pi*rt(225) = 30pi = 94.248 meters squared which is rounded to 94 meters squared.

A cylinder with a radius of 3 meters and a height of 5 meters has a volume of 141.37 cubic meters.

The volume is 47.12 cubic meters.

Area = pi*r2r = Diameter/2r = 6.5 meters/2= 3.25 meters--------------------------now,Area = pi(3.25 meters)2= 33 m2======

Diameter being 22 meters, the area is 380.12 meters

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diameter = 220/pi meters

See http://www.wolframalpha.com/input/?i=cylinder+diameter+12,+height+6

Approx 4.61 square kilometres.

First is to understand the terms. Lateral area is the surface area of a 3D figure, excluding the area of any base. Laterial Area (L.A.) of a right cone = pi*radius*slant height radius = 1/2 * diameter L.A. = pi*(1/2)*(4)*(15)=30*pi the formula for this is pi*r*rt(r^2 + h^2). If the diameter is 4, then the radius is 2. If the slant height is 15, then to get the real height we use the Pythagorean Theorem and get rt(221). So the lateral area is pi*2*rt(2^2 + (rt221)^2)...= 2pi*rt(225) = 30pi = 94.248 meters squared which is rounded to 94 meters squared.

Curved surface area = pi*2*15 = 94 square meters (to nearest integer)

A cylinder with a diameter of 7 meters and a height of 12 meters has a volume of 461.81 cubic meters.

A cylinder with a height of 20 meters and a diameter of 10 meters has a surface area of 785.4m2

A cylinder that has a diameter of 10 meters and a height of 3 meters has a surface area of 251.33m2

A cylinder with a height of 10 meters and diameter of 4 meters has a surface area of 150.8m2

LSA is 416.2m2

1974/3.14=628.66 meters

The circumference is obtained by multiplying the diameter by pi.