The diagram shows a solid hemisphere
WebJan 28, 2024 · The height of the cone is 13 cm. (a) (i) Calculate the total volume of the solid. [The volume of a hemisphere of radius r is given by V a 32 πr 3 .] [The volume of a cone of radius r and height h is given by V a 13 πr2h.] [2] (ii) The solid is made of wood and 1 cm3 of this wood has a mass of 0.94 g. Web19 The diagram shows a solid shape. The solid shape is made from a hemisphere and a cone. The radius of the hemisphere is equal to the radius of the base of the cone. The cone has a height of 10 cm. The volume of the cone is 270 cm3. Work out the total volume of the solid shape. Give your answer in terms of .
The diagram shows a solid hemisphere
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WebThe diagram shows a solid made up of a hemisphere and a cylinder. The radius of both the cylinder and the hemisphere is 3 cm. The length of the cylinder is 12 cm. (a) (i) Calculate …
WebDec 24, 2016 · The answer is 75π The surface area of the hemisphere (A) is the sum of the half of the surface area of the sphere (A1) and the area of the base which is a circle (A2) A = 1/2A1 + A2 The surface area of the sphere (A1) with radius r is: A1 = 4 π r² The area of a circular base with radius r is: A2 = π r² A = 1/2A1 + A2 A = 1/2 * 4 π r² + π r² WebThe diagram shows a hemispherical bowl of radius 5.6 cm and a cylindrical tin of height 10 cm. (i) Show that the volume of the bowl is 368 cm3, correct to the nearest cm3. [The volume, V, of a sphere with radius r is Vr. 3 =4 r3] [2] (ii) The tin is completely full of soup.
Web[The volume of a hemisphere of radius r is given by V = 3 2 π r 3.] [The volume of a cone of radius r and height h is given by V = 3 1 π r 2 [3 (ii) The solid is made of wood and 1 cm 3 … WebShow that x ≤ 5 [3] 11. A solid is made by putting a hemisphere on top of a cone. The total height of the solid is 5x The radius of the base of the cone is x The radius of the hemisphere is x A cylinder has the same volume as the solid. The cylinder has radius 2x and height h All measurements are in centimetres.
WebThe diagram shows a solid shape. The shape is a cone on top of a hemisphere. The height of the cone is 10 cm. The base of the cone has a diameter of 6 cm. The hemisphere has a …
WebMay 18, 2024 · 13. The diagram shows a solid made by joining a solid hemisphere to a solid circular cone. The centre of the plane face of the cone coincides with the centre of the plane face of the hemisphere. Surface area of sphere=4 π r2 Volume of sphere= 4/5 π r3 Curved surface area of cone= π rl Volume of cone= 1/3 π r2h The radius of the hemisphere is 3 cm. calliope kralja milanaWebThe diagram shows a solid shape. The shape is a cone on top of a hemisphere. The height of the cone is 10 cm. The base of the cone has a diameter of 6 cm. The hemisphere has a diameter of 6 cm. The total volume of the shape is kπ cm 3, where k is an integer. Work out the value of k. There are three dials on a combination lock. calliope mk skopjeWebThe diagram shows a shape made from a solid cylinder and a solid hemisphere. The cylinder has a radius of 3.4 cm and a length of 8.3 cm. The hemisphere has a radius of 3.4 cm. Calculate the total surface area of the solid shape. Give your answer correct to 3 significant figures. ...........................................................cm2 calliope nova kolekcijaWebThe diagram shows the position of a lighthouse L and a harbour H. The scale of the diagram is 1 cm represents 5 km. (a) ... 19. The diagram shows a solid hemisphere. The hemisphere has a total surface area of 16 3 π cm2 The hemisphere has a volume of kπ cm3 calliope mini projekteWebMay 21, 2013 · The diagram shows a shape made from a solid cylinder and a solid hemisphere. The cylinder has a radius of 3.4 cm and a length of 8.3 cm. The hemisphere … calliope online kupovinaWebThe hemisphere has radius Rcm. The total surface area of the cone is equal to the total surface area of the hemisphere. Calculate the value of R (b) The diagram shows a solid … calliope m osu skinWebMar 8, 2024 · The diagram shows a solid cone and a solid hemi - Gauthmath Math Resources / algebra / equation / 4. The diagram shows a solid cone and a solid hemisphere. The cone has radius 2.4 cm and slant height 6.3 cm. The hemisphere has radius R cm. The total surface area of the cone is equal to the total surface area of the hemisphere. calliope novi sad radno vreme