Two similar plant pots are shown. When the smaller plant pot is full, it holds 0·4 litres of compost. Calculate how many litres of compost the larger plant pot holds when it is full. [2]
(b) Compost is sold in cylindrical cardboard drums. A drum holds 30 000 cm3 of compost. The height of the drum is four times its radius.
Calculate the radius of the drum. You must show all your working. [4]
Mark scheme (a)
Scheme
Marks
Comments
(a) \((10/6)^3 \times 0.4\)
M1
1.8(5.. litres) or 1.9(litres)
A1
Corrected by Westie's Workshop
The board's mark scheme printed “(a)(i)”. Changed to “(a)” because question 17 has no part (i); this is part (a).
Original: see the board's mark scheme PDF (link above).
Mark scheme (b)
Scheme
Marks
Comments
\(\pi \times r^2 \times 4r = 30\,000\) OR \(\pi \times (h/4)^2 \times h = 30\,000\)
M2
Accept use of letters other than ‘\(r\)’ M1 for \(\pi \times r^2 \times h = 30\,000\), or for sight of \(\pi \times r^2 \times 4r\)
We'd like to use Google Analytics cookies to count visits and see which pages help most. They're optional, and the site works exactly the same either way. Privacy policy
