Question

диаметр шара равен 24см.Найдите площадь полной поверхности и объём шара

Answer 1

Площадь поверхности шара=4p*r^2

Объём шара=4/3*p*r^3

r=1/2*d=1/2*24=12 см

S поверхности=4p*12^2=4p*144=1809.56 см2

V шара=4/3*p*12^3=4/3*p*1728=7238.23 см3

Answer 2

Объем V = 4πR³/3

Поверхность S = 4πR²

R = 12 см

 V = 4πR³/3 = 2304π см³

S =  4πR² = 576π см²

 

 

Answer 3

Calculating the Surface Area and Volume of a Sphere

Given that the diameter of the sphere is 24 cm, we can calculate the surface area and volume of the sphere using the following formulas:

1. Surface Area of a Sphere: - The surface area (S) of a sphere with radius (r) is given by the formula: \[ S = 4 \pi r^2 \] - Since the diameter (d) is given, we can find the radius (r) using the formula: \[ r = \frac{d}{2} \]

2. Volume of a Sphere: - The volume (V) of a sphere with radius (r) is given by the formula: \[ V = \frac{4}{3} \pi r^3 \]

Calculations

1. Surface Area: - Given the diameter of the sphere is 24 cm, the radius (r) is: \[ r = \frac{24}{2} = 12 \, \text{cm} \] - Using the formula for surface area: \[ S = 4 \pi (12)^2 = 576 \pi \, \text{cm}^2 \]

2. Volume: - Using the radius (r) calculated earlier: \[ V = \frac{4}{3} \pi (12)^3 = 576 \pi \, \text{cm}^3 \]

Therefore, the surface area of the sphere is 576π cm² and the volume of the sphere is 576π cm³.