Exercises for Question Type 3: Calculating the surface area of specific 3D shapes given the parameters - IB | RevisionDojo

IB
Question Type 3: Calculating the surface area of specific 3D shapes given the parameters

Question Type 3: Calculating the surface area of specific 3D shapes given the parameters Exercises

All

Question 1

Find the volume of a right circular cone with radius $r=2$ and height $h=3$ .

[2]

Question 2

Calculate the volume of a sphere with radius $r=2$ .

[2]

Question 3

Determine the volume of a hemisphere with radius $r=2$ .

[2]

Question 4

A solid is made by placing a right circular cone (radius $r=2$ , height $h=3$ ) on top of a right circular cylinder (radius $r=2$ , height $h=3$ ). Calculate the volume of the resulting solid.

[5]

Question 5

A solid is composed of a right circular cylinder with radius $r=2$ and height $h=3$ attached to a hemisphere of radius $r=2$ . Find the total volume of the composite solid.

[6]

Question 6

Compute the surface area of a sphere with radius $r=2$ .

[2]

Question 7

A solid is formed by attaching a hemisphere of radius $r=2$ to one end of a right circular cylinder of radius $r=2$ and height $h=3$ (the cylinder’s top is removed to fit the hemisphere). Calculate the total surface area of the composite solid.

[5]

Question 8

Calculate the volume of a right circular cylinder with radius $r=2$ and height $h=3$ .

[2]

Question 9

Find the curved (lateral) surface area of a right circular cone with radius $r=2$ and height $h=3$ .

[4]

Question 10

Determine the total surface area of a hemisphere (including its circular base) with radius $r=2$ .

[3]

Question 11

Calculate the total surface area of a right circular cone with radius $r = 2$ and height $h = 3$ .

[4]

Question 12

Calculate the total surface area of a right circular cylinder with radius $r=2$ and height $h=3$ .

[3]