aaron is making a candle by pouring melted wax into a mold in the shape of a cone. the radius of the base of the cone is 5 cm and the height of the cone is 9 cm. to get the wax for the candle, aaron melts blocks of wax that are each 2 cm by 4 cm by 3 cm. how many of the wax blocks will aaron need in order to make the candle?

(note: make sure you are showing the formulas you use to answer the question and how the numbers fit into the formulas).

Aaron will require 10 blocks of wax to prepare the candle.

Step-by-step explanation:

Since Aaron is making a candle by poring melted wax into a mold which is in the shape of a cone, so we will calculate the volume of the cone to get the quantity of the wax consumed.

Volume of cone = 1/3×π×r²×h

Volume = 1/3×π×(5)²×9 = 75π = 75×3.14 cm³ = 235.5 cm³

Volume of the block of wax = Length×width×height = 2×4×3 = 24 cm³

So total number of blocks required to make the cone shaped candle

= Volume of cone/Volume of block

= 235.5/24 = 9.81 ≅ 10 blocks

Answer is 10 wax blocks Aaron will require to make the candle.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2