A snow globe consist of a pedestal in the shape of a cube with a sphere mounted on top of the pedestal. The pedestal has an edge length of 4 inches and the sphere has a diameter of 3 inches. What is the volume of the snow globe rounded to the nearest cubic inch?

The volume of the snow globe is 78 cubic inches.

Step-by-step explanation:

Given:

A snow globe consists of a pedestal in the shape of a cube with a sphere mounted on top of the pedestal. The pedestal has an edge length of 4 inches and the sphere has a diameter of 3 inches.

Now, to get the volume of the snow globe.

So, we get the volume of pedestal which is in the shape of cube by putting formula:

Edge = 4 inches.

Volume = (edge)^3

Volume = 4^3

Volume = 64 cubic inches

Volume of pedestal = 64 cubic inches.

Now, to get the volume of sphere by putting formula:

Diameter = 3 inches.

Radius(r) = diamater/2 = 3/2 inches

Volume = 4/3πr^3

Volume = 4/3 * 3.14 * (3/2)^3

Volume = 12.56/3 * 3.375

Volume of sphere = 14.131 cubic inches.

Now, to get the volume of snow globe by adding both the volumes, the volume of sphere and the volume of pedestal:

64 + 14.131

= 78.131 cubic inches.

Rounding to the nearest cubic inch = 78 cubic inches.

Therefore, the volume of the snow globe is 78 cubic inches.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

3x + 18 = 147°

step-by-step explanation:

3x + 18 = 147°, because the value of the central angle is equal to the value of the arc formed by it.

i hope i you.