HARD
10th ICSE
IMPORTANT
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In the given figure, toy is in the shape of a right· circular cylinder with a hemisphere on one end and a cone on the other. The height and radius of the cylindrical part are 13 cm and 5 cm,respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Calculate the surface area of the toy if height of the conical part is 12 cm

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Important Questions on Surface Area and Volume

HARD
10th ICSE
IMPORTANT
The interior of a building is in the form of a cylinder of diameter 4.3 mand 3.8 m Height, surmounted by a cone whose vertical angle is a right.angle. Find the height and slant height of the cone. Also, find the surface area of building.Take π =3.14. Write the answer in metres.
HARD
10th ICSE
IMPORTANT

A wooden toy is in the shape of a cone mounted on a cylinder as shown in the following the figure. If the height of the cone is 24 cm the total height of the toy is 60 cm and the radius of the base of the cone is equal to twice the radius of the base of the cylinder is 10 cm; then find the total surface area of the toy. [Take π=3.14]. (Write the decimal answer upto one decimal place with cm2.)

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MEDIUM
10th ICSE
IMPORTANT
A container shaped like a right circular cylinder having diameter 12 cm and height 15 cmis full of ice-cream. The ice-cream is to be filled into cones of height 12cm and diameter 6 cm, having a hemispherical shape on the top. Find the number of such cones which can be filled with ice- cream.
HARD
10th ICSE
IMPORTANT

In the given figure, from a solid sphere of radius 9 cm, a cone mounted on a hemisphere shape is carved out. The radius and height of a cone are 4 cmand 5 cm Respectively. Find the surface area of the remaining figure in cm2.

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HARD
10th ICSE
IMPORTANT
A small cone of radius 5 cm And slant height 7 cm Is mounted on a bigger solid cone of radius 8 cm And slant height 12 cm With common base. Find the surface area of the combined figure (upto one decimal  . [Take π = 3.14].
HARD
10th ICSE
IMPORTANT
 A vessel in the form of an inverted cone is filled with water to the brim. Its height is 20cm and diameter is16.8cm. Two equal solid cones are dropped in it, so that they are fully submerged. As a result, one-third of the water in the original cone overflows. What is the volume (in  cm3) of each of the solid cones submerged?
HARD
10th ICSE
IMPORTANT
The height of a right circular cylinder with lateral surface area 792cm2 is  21cm. Find the diameter of its base (in cm ).
MEDIUM
10th ICSE
IMPORTANT
The curved surface area of a right circular cylinder is 4400cm2. If the circumference of the base is 110cm, then find the height (in cm)  of the cylinder.