TERM 2 WEEK 7 - Area of Solid

Sep 18, 2026

Uploaded by Stanford

TERM 2 WEEK 7 materials focus on the properties and measurement of the surface area and volume of basic 3D solids. It provides worked examples and classwork/assignment tasks for cylinders, cones, including formulas for total surface area, circular base area, curved surface area, and volume. Learners calculate unknown dimensions using given radius/height or radius/slant height, with specified values for pi such as 22/7 and 3.1, and apply results to real-life pricing scenarios for tin.

LanguageEnglish

CategoryExam

FormatPDF

Pages2

Reading Time5 min

AccessFree to download

TERM 2 WEEK 7

Lesson 1: Area of Solid 1

Lesson 2

Lesson 3

Lesson 4

TERM 2 WEEK 7 Topic: Area of Solid Lesson 1 Examples: Find the total surface area of a cylinder with the radius of 4cm and height 7cm. take π=22/7 Solution: TSA of cylinder = 2πr2 + 2πrh = 2 πr(r + h) = 2x22/7x5 (5+15) = 628.6cm2 Classwork: A closed tin is in the shape of cylinder of diameter 10cm and a height 15cm. Use the value 3.1 for π to find: a. the TSA b. the value of the tin to the nearest naira if tin plate costs \#450 per m2 2. ii. What is total surface area of a closed cylinder with base radius 14cm and height 70cm. take π=22/7 Assignment: 2. A cylinder has a radius of 3cm and a height of 4cm. Find its: a. Circular base area b. Curved surface area c. Total surface area Lesson 2 Examples: Find the total surface area of a cone with the radius of 7/2cm and slant height 8cm.value 2. A cone has a radius of 3cm and a height of 4cm. Find its: a. Circular base area b. Curved surface area c. Total surface area Solution: T.S.A. = πr2+ πrl = 22/7 ×7/2(7/2+8) =126 .5 2. CBA=πr2= 3.14 ×3×3=28 .26cm2 C.S.A. =πrl=3 . 14×3×5=47 . 1cm2 Classwork: What is total surface area of a cone with base radius 14cm and slant side 70cm. Assignment: A cone has a radius of 5cm and height of 13cm. Find its Total surface Area. Lesson 3 Examples: Calculate the volume of a cylinder with radius 4cm and height 7cm. π=22/7 . 2. The volume of a cylinder is 396cm3 . if its height is 14cm, what is the circular base radius. Solution: 1. V=? r=4cm, h=7cm π=22/7 V= πr2 h = 22/7*4*4*7= 352cm3 2. V=396cm2, r =? π=22/7, h=14cm. r2=396/14x22/7=396/44 r2=9cm, therefore r= 3cm Classwork: 1. What is the expression for finding the volume of a cylinder 2. Find the volume of a cylinder of height 10cm and diameter 7cm. 3. if V=198cm3 and h =7cm. Find r in the expression V= πr2 h. take π=22/7 Assignment: If the height =14cm, radius=4cm, find the Volume of a cylinder. π =22/7 . Lesson 4 Example: Calculate the volume of a cone with radius 3cm and height of 7cm. take π = 22/7 Solution: V = 1/3 πr2 h = 1/3 x 22/7 x 3 x 3 x 7 = 66cm3 Classwork: 1. state the formula for finding the volume of a cone 2. Calculate the volume of a cone with base radius 6cm and height 7/2cm. Take π=22/7 . 3. The slant height of a cone is 5cm. The radius of the base is 4cm. Find its volume. Assignment: calculate the volume of the cone with base radius 3cm and slant height of 5cm.

FAQs

What solids are covered in TERM 2 WEEK 7?

The lessons cover cylinders and cones, focusing on their total surface area and volume.

Which pi values are used in the exercises?

Pi is given as 22/7 in many problems, and 3.1 is used in one cylinder tin-plate pricing task.

How do you find the total surface area of a cylinder in these materials?

Use TSA for a cylinder: 2πr^2 + 2πrh (or 2πr(r + h)), substituting the given radius and height.

Sep 18, 2026

Uploaded by Stanford