Find the surface area of a sphere with a diameter of 40 inches. Leave your answer in terms of pi.(1 point)
The formula for the surface area of a sphere is given by:
Surface Area = 4πr²
where r is the radius of the sphere.
Since the diameter of the sphere is given as 40 inches, we can find the radius by dividing the diameter by 2:
Radius = 40 inches / 2 = 20 inches
Now, we can substitute the value of the radius into the formula:
Surface Area = 4π(20 inches)²
Surface Area = 4π(400 square inches)
Surface Area = 1600π square inches
Therefore, the surface area of the sphere is 1600π square inches.
A cube box is 20 cm×20 cm× 20 cm . What is the surface area of the largest size sphere that can fit in this box? Leave your answer in terms of pi.(1 point)
Find the surface area of a sphere with a radius of 3.6 ft. Use 3.14 for pi. Round your answer to the nearest hundredth, if necessary.(1 point)
To find the surface area of a sphere, we can use the formula: SA = 4πr², where SA is the surface area and r is the radius of the sphere.
Given that the diameter of the sphere is 40 inches, we can find the radius (r) by dividing the diameter by 2: r = 40 / 2 = 20 inches.
Now we can substitute the value of r into the surface area formula: SA = 4π(20)²
Calculating this, we get:
SA = 4π(400)
SA = 1600π
Therefore, the surface area of the sphere with a diameter of 40 inches is 1600π square inches.