SUBJECT: Mathematic ASSIGNMENT
The diagram below shows a cylindrical moulding tool of diameter 16cm with a cylindrical hole of diameter 10cm. The height of the cylinder is 18cm and the hole is 6cm deep. Calculate the volume of the tool.

The height of a right circular cone is 6cm and its radius is 8cm.
Calculate its curved surface area.
Calculate the volume of the cone.

Section A

Volume of the cylindrical tool = 1413.72cm³

Section B

1) Curved Surface Area of the right circular cone = 251.33cm²

2) Volume of the right circular cone = 402.12cm³

Step-by-step explanation:

Section A

We are asked to find the volume of the cylindrical moulding tool.

Volume of a cylinder = πr²h

From the question, the cylindrical tool had a diameter of 10cm. This means the radius of the tool = Diameter ÷ 2 = 10cm ÷ 2 = 5cm

The height of the cylindrical tool = 18cm

Volume of the cylindrical tool = π × (5cm)² × 18cm

1413.7166941cm³

Approximately = 1413.72cm³

Section B

The height of a right circular cone is 6cm and its radius is 8cm.

1) Calculate its curved surface area.

The formula for the curved surface area of a right circular cone =

πrl

r = radius = 8cm

h = height = 6cm

l = √(r² +h²) = √(8² + 6²) = √100

l = 10cm

The curved surface area = πrl

= π × 8cm × 10cm

= 251.33cm²

2) Calculate the volume of the cone.

The formula for the volume of a cone=

1/3πr²h

radius (r) = 8cm

height (h) = 6cm

1/3πr²h

1/3 × π × 8² × 6

= 402.12cm³

18

step-by-step explanation:

ik this stuph and i am smart donkey

part 1 answer = 8

part 2 answer = 72

step-by-step explanation:

part 1 explanation = add all of the numbers, then divide by how many numbers you have. so, 200/25 = 8.

part 2 explanation = not gonna lie, this is hard to explain, so just google how to do it.