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A cylinder of base radius 12 cm is three-quarter filled with water to a level of 15 cm. Spherical marbles, each of radius 2 cm are dropped one at a time into the cylinder. Find, in terms of π the volume of each marble.
10 2/3 π cm3
A cylinder of base radius 12 cm is three-quarter filled with water to a level of 15 cm. Spherical marbles, each of radius 2 cm are dropped one at a time into the cylinder. Find, in terms of π the volume of the cylinder
2880Ï€ cm3
A cone, a cylinder and a hemisphere are joined together to form an object as shown in the diagram. The height and radius of the cone is 12 cm and 5 cm respectively and the length of the cylinder is 5 cm. Find its surface area in terms of π.
165Ï€ cm2
A cone, a cylinder and a hemisphere are joined together to form an object as shown in the diagram. The height and radius of the cone is 12 cm and 5 cm respectively and the length of the cylinder is 5 cm. Find its volume.
968.062 cm3
A cone has a base diameter of 14 cm and a height 24 cm. Find its surface area.
1364 cm2
A cone has a base diameter of 14 cm and a height 24 cm. Find its volume.
1232 cm3
The radius of a sphere is 6 cm. Find its surface area.
452.16 cm2
The radius of a sphere is 6 cm. Find its volume.
904.32 cm3
Find the measure of angle BDA
71.565 degrees
Calculate the length of AD.
2 cm
Calculate the length of AB.
6 cm
Calculate the length of PQ.
5.1 cm
Calculate the length of BQ.
6.8 cm
Calculate the length of AB.
12 cm
Calculate the length of CD.
2.8 cm
A map is drawn to a scale of 1∶2000. The actual height of a tree is 50 m and the area of a plot of land is 10 cm2 on the map. Calculate the actual area, in m2, of the land.
4000 m2
A map is drawn to a scale of 1∶2000. The actual height of a tree is 50 m and the area of a plot of land is 10 cm2 on the map. Calculate the height, in cm, of tree on the map,
2.5 cm
A model of a boat is made on a scale of 0.25∶15. Calculate the actual width of the boat if the width of the model is 4.5 cm.
270 cm
A model of a boat is made on a scale of 0.25∶15. If the actual length of the boat is 7.2 m, find the length of the model in centimetres.
12 cm
A model of a boat is made on a scale of 0.25∶15. Express the scale in the form 1 : n.
1:60
In the diagram, rectangle B is an enlargement of rectangle A. The dimensions given are in cm. Hence, find the ratio of area of rectangle B : area of rectangle A if x=4.
100∶1
In the diagram, rectangle B is an enlargement of rectangle A. The dimensions given are in cm. Express area of rectangle B/area of rectangle A in terms of x.
(2x+2)^2
In the diagram, rectangle B is an enlargement of rectangle A. The dimensions given are in cm. Hence, calculate the length of the unknown side of rectangle B in terms of x.
(2x^2-2x-4) cm
In the diagram, rectangle B is an enlargement of rectangle A. The dimensions given are in cm. Find the scale factor of the enlargement in terms of x.
2x+2
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