Spheres Surface Area of a sphere Volume of a sphere

Spheres A sphere is defined as the set of all points in space that are a given distance from a given point. home home Surface Area of a sphere The surface area of a sphere equals 4 times the square of the radius. Surface Area home Volume of a sphere Volume of a sphere equals times the cube of the radius. Volume home Example 1 Find the surface area and the volume of a sphere with radius 2 cm. home Example 2 The surface area of a sphere is 256. Find the volume. home Example 3 A plane passes 4 cm from the center of a sphere with radius 7 cm. Find the area of the circle of intersection. home home Example 4 A scoop of ice cream with diameter 6 cm is placed in an ice-cream cone with diameter 5 cm and height 12 cm. Is the cone big enough to hold all the ice cream if it melts? home Example 5 A sphere is inscribed in a cylinder. Show that the area of the sphere equals the lateral area of the cylinder. home