A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder.
Ncert Solutions Class 10th Chapter 13 Surface Areas and Volumes Exercise 13.2 Question 8
A spherical glass vessel has a cylindrical neck 8 cm long, 2 cm in diameter; the diameter of the spherical part is 8.5 cm. By measuring the amount of water it holds, a child finds its volume to be 345
. Check whether she is correct, taking the above as the inside measurements, and π = 3.14.
Ncert Solutions Class 10th Chapter 13 Surface Areas and Volumes Exercise 13.2 Question 7
A solid consisting of a right circular cone of height 120 cm and radius 60 cm standing on a hemisphere of radius 60 cm is placed upright in a right circular cylinder full of water such that it touches the bottom. Find the volume of water left in the cylinder, if the radius of the cylinder is 60 cm and its height is 180 cm.
Ncert Solutions Class 10th Chapter 13 Surface Areas and Volumes Exercise 13.2 Question 6
A solid iron pole consists of a cylinder of height 220 cm and base diameter 24 cm, which is surmounted by another cylinder of height 60 cm and radius 8 cm. Find the mass of the pole, given that
of iron has approximately 8 g mass. (Use π = 3.14)
Ncert Solutions Class 10th Chapter 13 Surface Areas and Volumes Exercise 13.2 Question 5
A vessel is in the form of an inverted cone. Its height is 8 cm and the radius of its top, which is open, is 5 cm. It is filled with water up to the brim. When lead shots, each of which is a sphere of radius 0.5 cm are dropped into the vessel, one-fourth of the water flows out. Find the number of lead shots dropped in the vessel.
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