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THE BEST ACADEMY, UDYAVARA, MATHS TEST -2022, TOPIC : SURFACE AREA and VOLUME Duration : 45 mins, Date : 16/3/2022 Max.marks : 20, Answer the following questions 4 x 1 = 4, Find the slant height of a cone of height 3cm and diameter of its base is 8cm, Write the formula to find curved surface area of a cylinder, Write formula to find total surface area of a solid hemi sphere., Write the formula used to find the volume of a cone., Answer the following questions 4 x 2 = 8, A right circular metallic cone of height 20 cm and base radius 5 cm is melted and react into solid sphere. Find the radius of the sphere., A solid sphere of radius 3cm is melted and reformed by stretching it into a cylindrical shaped wire of length 9m.Find the radius of the wire., The slant height of a frustum of a cone is 4cm and perimeter of its right circular bases are 18cm and 6cm, find the curved surface area of the frustum of a cone., The circumference of a base of a cylinder is 132cm and its height is 25cm. find the volume of a cylinder?, Answer the following questions 4 x 2 = 8, A toy is made in the shape of a cylinder with one hemisphere stuck to one end and a cone to the other end as shown in the figure, the length of the cylindrical part of the toy is 20 cm and its diameter is 10 cm. If the slant height of the cone is 13 cm. Find the surface area of the toy., A toy is in the form of a cone mounted on a hemisphere with the same radius is as shown in the figure. If the diameter of a conical portion is 6cm and its height is 4cm, then find the surface area of a toy.