A cylinder with radius `r\ ` and height `h` is closed on the top and bottom. Which of the following expressions represents the total surface area of this cylinder? (a) `2pir\ (r+h)` (b) `pir\ (r+2h)` (c) `pir\ (2r+h)` (d) `2pir^2+h`

The total surface area of a cone of radius r/2 and length 2l , is a) 2pir(l+r) b) pir(l+r/4) c) pir(l+r) d) 2pirl

The total surface area of a hemisphere of radius r is pir^2 (b) 2pir^2 (c) 3pir^2 (d) 4pir^2

A cylinder has volume V, height h, and base diameter d. Which of the following represents d in terms of V and h?

If r is the radius and h is height of the cylinder the volume will be (a) 1/3pi^2h (b) pir^2h (c) 2pir\ (h+r) (d) 2pir h

Which of the following expresses the circumference of a circle inscribed in a sector O A B with radius Ra n dA B=2a ? (a) 2pi(R a)/(R+a) (b) (2piR^2)/a (c) 2pi(r-a)^2 (d) 2piR/(R-a)

Write the ratio of total surface area to the surface area of a cylinder of radius r\ and height h

A sphere is placed inside a right circular cylinder so as to touch the top, base and lateral surface of the cylinder. If the radius of the sphere is r , then the volume of the cylinder is 4pi\ r^3 (b) 8/3pi\ r^3 (c) 2pi\ r^3 (d) 8pi\ r^3

Which of the following expresses the circumference of a circle inscribed in a sector O A B with radius Ra n dA B=2a ? 2pi(R a)/(R+a) (b) (2piR^2)/a 2pi(r-a)^2 (d) 2piR/(R-a)

Find the rate of change of the total surface area of a cylinder of radius r and h , when the radius varies.

State True or False and justify your answer A solid cone of radius r and height h is placed over a solid cylinder having same base radius and height as that of a cone,. The total surface area of the combined solid is pi [sqrt(r^(2) + h^(2)) +3r +2h]