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)
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)
thats wrong
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)
A sphere that fits inside a cube box with dimensions 20 cm by 20 cm by 20 cm will have a diameter that is equal to the side length of the cube. This is because the diameter of the sphere is the greatest distance across it, and it will touch the cube's sides without exceeding the cube's dimensions.
In this case, since the side length of the cube is 20 cm, this is also the diameter of the sphere that fits inside the cube. The radius of the sphere is therefore half the diameter:
\[ \text{Radius (r)} = \frac{\text{Diameter (d)}}{2} = \frac{20 \text{ cm}}{2} = 10 \text{ cm} \]
The surface area (SA) of a sphere is given by the formula:
\[ \text{SA} = 4 \pi r^2 \]
Using the radius we found:
\[ \text{SA} = 4 \pi (10 \text{ cm})^2 \]
\[ \text{SA} = 4 \pi \times 100 \text{ cm}^{2} \]
\[ \text{SA} = 400 \pi \text{ cm}^{2} \]
The surface area of the largest size sphere that can fit inside a cube box with each side 20 cm is \(400 \pi\) square centimeters. We leave the answer in terms of π as requested.
what is the answer??
The answer to the question, "What is the surface area of the largest size sphere that can fit in a cube box with dimensions 20 cm x 20 cm x 20 cm?" is:
\[ \text{Surface Area} = 400 \pi \text{ cm}^2 \]
This is the surface area of a sphere with a radius of 10 cm left in terms of π, as requested.
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.(1 point)
My apologies for the oversight. Let's redo the calculation using the formula for the surface area of a sphere:
\[ \text{Surface Area} = 4 \pi r^2 \]
Given that the radius (r) of the sphere is 3.6 feet, and using 3.14 for π (pi), we have:
\[ \text{Surface Area} = 4 \times 3.14 \times (3.6)^2 \]
Calculating the square of the radius:
\[ 3.6^2 = 3.6 \times 3.6 = 12.96 \]
Now, plug this value into the formula:
\[ \text{Surface Area} = 4 \times 3.14 \times 12.96 \]
\[ \text{Surface Area} = 4 \times 3.14 \times 12.96 = 162.86 \times 4 \]
\[ \text{Surface Area} = 651.44 \]
So rounding to the nearest hundredth, the surface area of the sphere with a radius of 3.6 feet is 651.44 square feet.
The formula to calculate the surface area (SA) of a sphere is given by:
SA = 4 * π * r²
where π (pi) is approximately 3.14, and r is the radius of the sphere.
Given that the radius of the sphere is 3.6 ft, we can plug the values into the formula:
SA = 4 * 3.14 * (3.6)²
Now, we square the radius:
3.6² = 3.6 * 3.6 = 12.96
Then we continue with the calculation:
SA = 4 * 3.14 * 12.96
SA = 12.56 * 12.96
To get the surface area, multiply 12.56 by 12.96:
SA ≈ 162.8416
Rounding to the nearest hundredth, the surface area is about:
SA ≈ 162.84 square feet
So, the surface area of the sphere with a radius of 3.6 feet, using 3.14 for pi, is approximately 162.84 square feet.
To find the surface area of a sphere, we use the formula:
\[ \text{Surface Area} = 4 \pi r^2 \]
Where \( r \) is the radius and \( \pi \) (pi) is approximately 3.14.
Given that the radius \( r \) of the sphere is 3.6 feet, let's plug the values into the formula:
\[
\text{Surface Area} = 4 \times 3.14 \times (3.6)^2
\]
Now, calculate the radius squared:
\[
(3.6)^2 = 3.6 \times 3.6 = 12.96
\]
Then continue with the calculation:
\[
\text{Surface Area} = 4 \times 3.14 \times 12.96
\]
\[
\text{Surface Area} = 12.56 \times 12.96
\]
\[
\text{Surface Area} \approx 162.8416
\]
Rounding to the nearest hundredth, the surface area is:
\[
\text{Surface Area} \approx 162.84 \text{ square feet}
\]
So, the surface area of the sphere with a radius of 3.6 feet is approximately 162.84 square feet when rounded to the nearest hundredth.