Question

Вычислите объём шара и площадь его поверхности, если радиус шара равен 1/4 м. Решите пожалуйста?! Срочно!!! Очень надо!!! Заранее спасибо.

Answer 1

ДАНО: R = 1/4 м
НАЙТИ: Для шара V=?   S=?
РЕШЕНИЕ:
Объем шара  V=4/3πR³ = 1/(3*4*4) = 1/48 π м³ ~  0.0654 м³ = 65.4 см³ - ОТВЕТ
Поверхность шара S = 4πR² = 1/4π м² ~ 0.79 м² - ОТВЕТ

Answer 2

Calculation of the Volume and Surface Area of a Sphere

To calculate the volume and surface area of a sphere, we need to use the formulae:

- Volume of a sphere: V = (4/3) * π * r^3 - Surface area of a sphere: A = 4 * π * r^2

Given that the radius of the sphere is 1/4 m, we can substitute this value into the formulas to find the volume and surface area.

Calculation:

1. Volume of the sphere: - Radius (r) = 1/4 m - Volume (V) = (4/3) * π * (1/4)^3 - Simplifying the equation: - V = (4/3) * π * (1/64) - V = (1/48) * π - Therefore, the volume of the sphere is (1/48) * π cubic meters.

2. Surface area of the sphere: - Radius (r) = 1/4 m - Surface area (A) = 4 * π * (1/4)^2 - Simplifying the equation: - A = 4 * π * (1/16) - A = (1/4) * π - Therefore, the surface area of the sphere is (1/4) * π square meters.

Answer:

The volume of the sphere with a radius of 1/4 m is (1/48) * π cubic meters, and the surface area is (1/4) * π square meters.

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