Question 1
A cylindrical water tank has a radius of 2.0 m and a perpendicular height of 5.0 m. What is the total surface area of the tank?
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General Mathematics Β· Unit 1 Β· Shape and measurement Β· Mensuration
Calculate surface areas, π, of standard three-dimensional objects in practical situations, including rectangular prisms, cylinders, pyramids, cones, spheres and composites. ο§ cylinder: π = 2ππβ + 2ππ2 where π is radius and β is perpendicular height ο§ cone: π = πππ + ππ2 where π is radius and π is slant height ο§ sphere: π = 4ππ2 where π is radius
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Question 2
A manufacturer produces decorative storage containers consisting of a cylinder with a hemisphere (half-sphere) attached to the top. The table shows the dimensions required for three different container sizes. Calculate the total surface area, in square metres, of the Medium container. Give your answer correct to two decimal places.
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Question 3
A cylindrical storage tank has a radius of 2.5 m and a height of 8.4 m. Calculate the total surface area of the tank, correct to the nearest square metre. (Assume the tank has both a top and bottom.)
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Calculate perimeters, π, of standard two-dimensional objects in practical situations, including circles, sectors, triangles, rectangles, trapeziums, parallelograms and composites. ο§ circle: πΆ = 2ππ where πΆ is circumference and π is radius ο§ sector: π = 2π + π 180 ππ where π is central angle and π is radius General Mathematics 2025 v1.3
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Calculate volumes, π, and capacities of standard three-dimensional objects in practical situations, including rectangular prisms, cylinders, pyramids, cones, spheres and composites. ο§ prism: π = π΄β where π΄ is base area and β is perpendicular height ο§ cylinder: π = ππ2 β where π is radius and β is perpendicular height ο§ pyramid: π = 1 3 π΄β where π΄ is base area and β is perpendicular height ο§ cone: π = 1 3 ππ2 β where π is radius and β is perpendicular height ο§ sphere: π = 4 3 ππ3 where π is radius