Answer:
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
