HARD
10th CBSE
IMPORTANT
Earn 100

A 5 m wide cloth is used to make a conical tent of base diameter 14 m and height 24 m. If the cost of cloth used, at the rate of 25 per metre is x, then write the value of x.

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Important Questions on Volume and Surface Areas of Solids

HARD
10th CBSE
IMPORTANT
A wooden toy was made by scooping out a hemisphere of same radius from each end of a solid cylinder. If the height of the cylinder is 10 cm, its base is of radius 3.5 cm and the volume of wood in the toy is k cm3, then find the value of k. (Correct up to two decimal places)
EASY
10th CBSE
IMPORTANT

Three cubes of a metal whose edges are in the ratio 3:4:5 are melted and converted into a single cube whose diagonal is 123 cm

Find the sum of edges of the three cubes (in cm).

EASY
10th CBSE
IMPORTANT
A hollow sphere of external and internal diameters 8 cm and 4 cm respectively is melted into a solid cone of base diameter 8 cm. Find the height of the cone.
MEDIUM
10th CBSE
IMPORTANT
A bucket of height 24 cm is in the form of frustum of a cone whose circular ends are of diameter 28 cm and 42 cm. Find the cost of milk at the rate of  30 per litre, which the bucket can hold.
MEDIUM
10th CBSE
IMPORTANT
The interior of a building is in the form of a right circular cylinder of diameter 4.2 m and height 4 m surmounted by a cone of same diameter. The height of the cone is 2.8 m. If the outer surface area of the building is k m2, then find the value of k.
HARD
10th CBSE
IMPORTANT
A metallic solid right circular cone is of height 84 cm and the radius of its base is 21 cm.  It is melted and recast into a solid sphere. Find the diameter of the sphere.
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. The total height of the toy is 15.5 cm. If the total surface area of the toy is k cm2, then find the value of k.
HARD
10th CBSE
IMPORTANT
If the radii of the circular ends of a bucket 28 cm high, are 28 cm and 7 cm, then find the sum of the numeral values of its capacity and total surface area.