Find the surface area and volume of a sphere that has a diameter of 78 inches. Use 3.14 for π. Click Here for Help Video
The sphere's surface area is _____square inches.
The sphere's volume is _____cubic inches.
To find the surface area of a sphere with diameter 78 inches, we first need to calculate the radius of the sphere. The radius is half of the diameter, so the radius is 78/2 = 39 inches.
Now, the formula for the surface area of a sphere is A = 4πr^2, where r is the radius of the sphere. Plugging in the values, we get A = 4 * 3.14 * 39^2 = 4 * 3.14 * 1521 = 19122.24 square inches.
Therefore, the sphere's surface area is 19122.24 square inches.
Next, to find the volume of the sphere, we use the formula V = (4/3)πr^3. Plugging in the values, we get V = (4/3) * 3.14 * 39^3 = (4/3) * 3.14 * 59319 = 296595.76 cubic inches.
Therefore, the sphere's volume is 296595.76 cubic inches.