What is the length of the radius of a sphere with a diameter of 12 cm??
oh my ok here are the answers
6
1600π
162.78
400π
1144π
oops the last one is 144 lol
The diameter of a sphere is twice the length of its radius. So, if the diameter is 12 cm, then the radius would be 12 cm/2 = 6 cm.
Find the surface area of a sphere with a diameter of 40 inches. Leave your answer in terms of pi
that is wrong
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.(
The formula for the surface area of a sphere is given by S = 4πr^2, where S is the surface area and r is the radius.
Given that the radius of the sphere is 3.6 ft, we can substitute the value into the formula:
S = 4π(3.6)^2
Using the value of pi as 3.14:
S = 4(3.14)(3.6)^2
Simplifying the calculation:
S = 4(3.14)(12.96)
S = 163.584 ft^2
Rounding the answer to the nearest hundredth:
S ≈ 163.58 ft^2
Therefore, the surface area of the sphere with a radius of 3.6 ft is approximately 163.58 square feet.
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.
A rectangular box is 12 in. × 14 in. × 18 in. What is the surface area of the largest size sphere that could fit in this box? Leave your answer in terms of pi.
To find the largest sized sphere that can fit inside the rectangular box, we need to determine the diameter of the sphere.
Given that the rectangular box has dimensions of 12 in. × 14 in. × 18 in., the diameter of the sphere cannot exceed the smallest dimension of the box in order to fit inside.
Therefore, the diameter of the sphere will be 12 in.
Now we can calculate the surface area of the sphere using the formula:
S = 4πr^2,
where S is the surface area and r is the radius of the sphere.
Since the diameter is given, we can divide it by 2 to find the radius:
r = 12 in. / 2 = 6 in.
Substituting the radius into the formula:
S = 4π(6)^2 = 144π.
Hence, the surface area of the largest-sized sphere that can fit in the rectangular box is 144π square inches.