Grade 8 Measurement: Circles, Cones, Cylinders, and Spheres

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A cylindrical tank has a height of 15 meters and a radius of 4 meters. What is the volume of the tank in cubic meters? Use π = 3.14

V = πr²h = 3.14 × 4² × 15 = 753.6 m³

Find the circumference of a circle with a diameter of 14 cm. Use π = 3.14

C = πd = 3.14 × 14 = 43.96 cm

A sphere has a surface area of 100.48 cm². What is its radius? Use π = 3.14

SA = 4πr², so 100.48 = 4 × 3.14 × r², and r = √(100.48 / 12.56) = 3 cm

A cone has a height of 10 cm and a slant height of 15 cm. What is its volume in cubic centimeters? Use π = 3.14

First, find the radius: r = √(15² - 10²) = 5 cm. Then, V = (1/3)πr²h = (1/3) × 3.14 × 5² × 10 = 261.67 cm³

A circular garden has a circumference of 37.68 meters. What is its area in square meters? Use π = 3.14

First, find the radius: C = 37.68 = 2πr, so r = 37.68 / 6.28 = 6 meters. Then, A = πr² = 3.14 × 6² = 113.04 m²

Test your understanding of measurement concepts in grade 8, including finding circumference and area of circles, surface area and volume of cones, cylinders, and spheres, and identifying parts of a circle. Apply your knowledge to solve word problems and calculation-based questions.

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