A child's toy is in the shape of a cone on top of a hemisphere. The radius of the cone and hemisphere is 4
cm and the vertical height of the cone is 10 cm.

1. Find the total volume of the toy.

2. Find the slant height of the cone

1. 167.55

2. 10.77

Step-by-step explanation:

For #1 use the formula for volume of cone: , and for #2 use the Pythagorean Theorem:

the 2 figures are congruent bc if you reflect abcd over the y axis then over the d axis the figures overlap

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)