3D Shapes: Quiz 7 - Answers
Part 1
1)
a) 37.7 cm3
b) 5 cm
c) 75 cm2
2)
a) 184.3 cm3
b) 11.7 cm
c) 197 cm2
3)
a) 301 cm3
b) 9.5 cm
c) 497 cm2
4)
a) 10.4 cm
b) 392 cm3
c) 264 cm2
Part 2
1)
a)
b)
2)
a) 10 cm
b) 8 cm
c) 96π cm3
3)
a) 15 cm
b) 14.1 cm
c) 370 cm3
You may use a calculator for all of the questions in this quiz.
Part 1
1) We have the cone below.
b) What is the length of the slanted height?
c) What is the total surface area of the cone? Give your answer to the nearest integer.
2) We have the cone below.
b) What is the length of the slanted height? Give your answer to one decimal place.
c) What is the total surface area of the cone? Give your answer to the nearest integer.
3) We have the cone below.
b) What is the length of the slanted height? Give your answer to one decimal place.
c) What is the total surface area of the cone? Give your answer to the nearest integer.
4) We have the cone below.
b) What is the volume of the cone? Give your answer to the nearest integer.
c) What is the total surface area of the cone? Give your answer to the nearest integer.
1)
a) Write down the formula for working out the surface area of a cone.
b) Make l (or whatever you have for the slanted height) the subject of the formula.
The next questions build on the answer of part b. Therefore, if you are unsure of your answer, it may be a good idea to check that you have got part b correct before working through the remaining questions in this part.
2) The surface area of the cone below is 96π cm3.
a) What is the length of the slanted height of the cone?
b) What is the perpendicular height of the cone?
c) What is the volume of the cone? Give your answer in terms of π.
3) The surface area of the cone below is 100π cm3.
a) What is the length of the slanted height of the cone?
b) What is the perpendicular height of the cone? Give your answer to one decimal place.
c) What is the volume of the cone? Give your answer to the nearest integer.