Calculate the total surface area of a hemisphere that has a diameter of 20 cm.
The radius of the hemisphere can be calculated as half of the diameter, so r = 20 cm / 2 = 10 cm.
The total surface area of a hemisphere can be calculated using the formula:
Surface Area = 2πr^2
Substituting the value of r, we get:
Surface Area = 2π(10 cm)^2 = 2π(100 cm^2)
Therefore, the total surface area of the hemisphere is 200π cm^2.
The answer is 942 cm²
Apologies for the error in the previous response.
The total surface area of a hemisphere can be calculated using the formula:
Surface Area = 2πr^2 + πr^2
Where r is the radius of the hemisphere.
Substituting the given diameter of 20 cm, we can calculate the radius as:
r = 20 cm / 2 = 10 cm
The surface area of the hemisphere is:
Surface Area = 2π(10 cm)^2 + π(10 cm)^2
= 2π(100 cm^2) + π(100 cm^2)
= 200π cm^2 + 100π cm^2
= 300π cm^2
Approximating the value of π to 3.14, the surface area of the hemisphere is:
Surface Area ≈ 300 * 3.14 cm^2
≈ 942 cm^2
Therefore, the total surface area of the hemisphere with a diameter of 20 cm is approximately 942 cm².