Answer:
a)
The area of the sphere with radius 4cm is 200.96cm²
The volume of the sphere with radius 4cm is 267.75 cm³
b)
The area of the sphere with radius √3 cm is 37.68cm²
The volume of the sphere with radius √3 cm is 21.756 cm³
Explanation:
a)
To calculate the area of a sphere we have to use the following formula:
A = area
r = radius = 4cm
π = 3.14
A = 4πr²
we replace with the known values
A = 4 * 3.14 * (4cm)²
A = 12.56 * 16cm²
A = 200.96cm²
The area of the sphere with radius 4cm is 200.96cm²
To calculate the volume of a sphere we have to use the following formula:
V = volume
r = radius = 4cm
π = 3.14
V = ⁴⁄₃πr³
we replace with the known values
V = ⁴⁄₃ * 3.14 * (4cm)³
V = 4.187 * 64 cm³
V = 267.75 cm³
The volume of the sphere with radius 4cm is 267.75 cm³
b)
To calculate the area of a sphere we have to use the following formula:
A = area
r = radius = √3 cm
π = 3.14
A = 4πr²
we replace with the known values
A = 4 * 3.14 * (√3 cm )²
A = 12.56 * 3cm²
A = 37.68cm²
The area of the sphere with radius √3 cm is 37.68cm²
To calculate the volume of a sphere we have to use the following formula:
V = volume
r = radius = √3 cm
π = 3.14
V = ⁴⁄₃πr³
we replace with the known values
V = ⁴⁄₃ * 3.14 * (√3 cm)³
V = 4.187 * 3√3 cm³
V = 21.756 cm³
The volume of the sphere with radius √3 cm is 21.756 cm³