Alyssa bought a paperweight in the shape of a cone. The radius was 10 centimeters and the height 9 centimeters. What's the volume of the paperweight?

300 pi, 942, or 942.477... cm^3

Step-by-step explanation:

The volume of a cone can be found using the following formula.

V= 1/3* pi* r^2* h

We know that the radius is 10 centimeters and the height is 9 centimeters.

r= 10 cm

h= 9 cm

V= 1/3* pi * (10 cm)^2 * 9 cm

First, evaluate the exponent.

(10 cm)^2= 10 cm * 10 cm = 100 cm^2

V= 1/3 * pi * 100 cm^2 * 9 cm

In terms of pi:

To solve in terms of pi, multiply all the terms that are not pi together

V= (1/3* 100 cm^2*9cm)*pi

V= (1/3* 900 cm^3)*pi

V= (300 cm^3)* pi

V= 300 pi cm^3

Using 3.14 as pi

V= 300 pi cm^3

Substitute 3.14 in for pi

V= (300*3.14) cm^3

V= 942 cm^3

Using 3.14159265 as pi

V= 300 pi cm^3

Use the pi button for pi

V= 942.477796076938 cm^3

The volume of the paperweight is 300 pi, 942, or 942.477796... cm^3

942.5 cm³

Step-by-step explanation:

pi r²h/3

π(10)²(9)/3 = 942.5 cm³

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.