What is volume of thi shown below?

13613.46 cm^3

Step-by-step explanation:

Height of the conical top= 25 cm

Diameter of the conical top = 20 cm

Radius of the conical top = 10 cm

Height of the cylindrical base = 35 cm

Diameter of the cylindrical base = 20 cm

Radius of the cylindrical base = 10 cm

13,614cm³

Explanation:

There are 2 solid shapes in the object;

A cylinder and A cone

Volume of the cylinder = πr²h

Volume of the cone is 1/3πr³h

h of cone = 25cm

h of cylinder = 35cm

d of the cylinder and cone = 20cm

r = d/2 = 10cm

Volume of the cylinder = πr²h

= π(10)²×35 = 10,996cm³

Volume of the cone = 1/3πr²h

= 1/3π(10)²×25 = 2618cm³

Therefore the total volume of the object above =

Volume of the cylinder + Volume of the cone =

10,996cm³ + 2618cm³ = 13,614cm³

15.5

step-by-step explanation:

5

∑

n = 1

substitute n = 1, 2, 3, 4, 5 and sum the terms

= + + + 2² + 2³

= 0.5 + 1 + 2 + 4 + 8

= 15.5