MEDIUM
10th CBSE
IMPORTANT
Earn 100

A decorative block is made up of cube and cone. The base of the block is the cube with edge of 6 cm and the cone attached on the top has a diameter of 5.6 cm and height of 1.4 cm. If the block is to be painted red at the rate of  0.45 per cm², Find the surface area to be painted and the cost of painting the block.

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Important Questions on Surface Areas & Volumes

MEDIUM
10th CBSE
IMPORTANT
A solid is in the form of a right circular cylinder with hemispherical ends. The total height of the solid is 19 cm and the diameter of the cylinder and the hemispheres is 7 cm. Find the volume and total surface area of the solid.
MEDIUM
10th CBSE
IMPORTANT
Find the volume of a Gulab jamun in the form of right circular cylinder with hemispherical ends whose total length is 2.7 cm and the diameter of each hemispherical end is 0.7 cm
MEDIUM
10th CBSE
IMPORTANT
A vessel is a hollow cylinder fitted with hemispherical bottom of the same base. The depth of cylinder is 423 m and the diameter of the hemisphere is 3.5 m. Calculate the volume and the internal surface area of the hollow cylinder.
HARD
10th CBSE
IMPORTANT
​Karthik, an engineering student is asked to make a model in his workshop, which is shaped like a cylinder with two equal cones attached at the two ends, the diameter of the model is 3.5 cm and the length is 18 cm. If each cone has a height of 4 cm, if the volume of the model that Karthik made is k cm3 then find k. Write the answer upto two decimal places.
HARD
10th CBSE
IMPORTANT
A blacksmith, Sujan made a pillar which consists of a cylindrical portion 2.8 m high and 20 cm in diameter and a cone 4.2 cm high is surmounting it. Find the weight of the pillar(in kgs), if 1 cm3 of iron weighs 7.5 grams.(Write the final answer in decimals without units)
HARD
10th CBSE
IMPORTANT
A rocket which was prepared is in the form of a cylinder closed at the lower end with a cone of the same base radius attached to the top. The cylinder is of radius 2.5 m and height 21 m and the cone has the slant height 8 m.If the volume of the rocket is a m3, find the value of a. Write the answer upto two decimal places       
HARD
10th CBSE
IMPORTANT
An iron pillar has some part in the form of a right circular cylinder and the remaining in the form of a right circular cone. The radius of the base of cylinder and cone is 8 cm. The cylindrical part is 240 cm high and conical part is 36 cm high. If the weight of the pillar is W kg, where one cubic cm of iron weighs 7.8 grams, then find the value of W (Write the answer up to two decimal places).
MEDIUM
10th CBSE
IMPORTANT

A juice seller was serving his customers using glasses. The inner diameter of the cylindrical glass was 5 cm, but the bottom of the glass had a hemispherical raised portion which reduced the capacity of the glass. If the height of glass was 10 cm, find what the apparent capacity of the glass was and what the actual capacity was. (Use π=3.14)