Volume and Surface Area Calculator

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Example

Created on 2024-06-20Asked by Aria Ramirez (Solvelet student)

Find the volume and surface area of a cylinder with radius

r

and height

h

Solution

Given a cylinder with radius

r

and height

h

, we need to find its volume and surface area. 1. **Volume of the cylinder:** The volume

V

of a cylinder is given by the formula:

V = \pi r^2 h.

2. **Surface area of the cylinder:** The lateral surface area

A_l

of a cylinder is given by the formula:

A_l = 2\pi rh.

The total surface area

A_t

(including the top and bottom circles) of a cylinder is given by the formula:

A_t = 2\pi rh + 2\pi r^2.

Solved on Solvelet with Basic AI Model

Some of the related questions asked by Noah Harris on Solvelet

1. Find the surface area of a sphere with radius

r=3

.2. Determine the volume of a cube with edge length

a = 5

DefinitionVolume can be defined as the location of a 3D object, while surface area can be defined as the sum of the areas of each face of the object. For example. The volume of the sphere is defined by the formula is defined by the formula V=34πr3 and whereas surface area is A=4πr2

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