MEDIUM
10th CBSE
IMPORTANT
Earn 100

A solid is in the shape of a cone surmounted on a hemisphere, the radius of each of them being 3.5 cm and the total height of the solid is 9.5 cm. Find the volume of the solid in cubic centimeters. (Use π=227)

50% studentsanswered this correctly

Important Questions on Volume and Surface Areas of Solids

HARD
10th CBSE
IMPORTANT
A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same radius on its circular face. The total height of the toy is 15.5 cm. Find the total surface area of the toy. if total surface area of toy is x cm2, then x=?(Use π=227)
HARD
10th CBSE
IMPORTANT
A toy is in the shape of a cone mounted on a hemisphere of same base radius. If the volume of the toy is 231 cm3 and its diameter is 7 cm, find the height of the toy in centimetres.(Use π=227)
HARD
10th CBSE
IMPORTANT
A cylindrical container of radius 6 cm and height 15 cm is filled with ice cream. The whole ice cream has to be distributed to 10 children in equal cones with hemispherical tops. If the height of the conical portion is 4 times the radius of its base, find the radius of the ice-cream cone in cm.
HARD
10th CBSE
IMPORTANT
A vessel is in the form of a hemispherical bowl surmounted by a hollow cylinder. The diameter of the hemisphere is 21 cm and the total height of the vessel is 14.5 cm. Find its capacity in cubic centimetres.
HARD
10th CBSE
IMPORTANT
A toy is in the form of a cylinder with hemispherical ends. If the whole length of the toy is 90 cm and its diameter is 42 cm, find the cost of painting the toy at the rate of 70 paise per sq cm in Rupees.
EASY
10th CBSE
IMPORTANT
A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire capsule is 14 mm and the diameter of the capsule is 5 mm. If the surface area is k mm2, find the value of k.
MEDIUM
10th CBSE
IMPORTANT

A wooden article was made by scooping out a hemisphere from each end of a cylinder, as shown in the figure. If the height of the cylinder is 20 cm and its base is of diameter 7 cm, find the total surface area of the article when it is ready.

Question Image

If total surface area of the article is k cm2, then find k ?

 

MEDIUM
10th CBSE
IMPORTANT
A solid is in the form of a right circular cone mounted on a hemisphere. The radius of the hemisphere is 2.1 cm and the height of the cone is 4 cm. The solid is placed in a cylindrical tub full of water in such a way that the whole solid is submerged in water. If the radius of the cylinder is 5 cm and its height is 9.8 cm, find the volume of the water left in the tub in cubic centimetres.
 

If the volume of the water left in the tub is k cm3, then find k ?