The surface area of a sphere Formula encompasses the space covered by the curved external surface of the sphere. When viewed as three-dimensional objects, circular shapes manifest as spheres. Instances of such shapes include a globe or a soccer ball. In this instructional segment, we will delve into comprehending the formula for calculating the surface area of a sphere, as well as mastering the process of surface area determination for a sphere.
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Therefore, the relationship between the surface area of a sphere and the lateral surface area of a cylinder is encapsulated by the equation: Surface Area of Sphere = Lateral Surface Area of Cylinder The formula for the lateral surface area of a cylinder is 2πrh, where 'r' signifies the radius and 'h' signifies the height of the cylinder. Remarkably, the cylinder's height can equivalently be termed as the diameter of the sphere, given the assumption of a seamless fit between the sphere and the cylinder. Consequently, height of the cylinder = diameter of the sphere = 2r. Within the formula, the surface area of the sphere is rendered as 2πrh; replacing 'h' with the diameter, that is, 2r. Thus, the surface area of the sphere becomes 2πrh = 2πr(2r) = 4πr².Also Check - LCM and HCF Formula
Also Check - Area of a Rectangle Formula
Also Check - Area of a Hexagon Formula
Solution: a.) True. A sphere is indeed a three-dimensional representation of a circle. b.) True. The assertion is accurate. The curved surface area of a sphere corresponds to the total surface area since a sphere is characterized by a solitary curved surface. [wp-faq-schema title="Surface area of a Sphere Formula FAQs" accordion=1