Asanchez2024idn
Answered

Connect with a community of experts and enthusiasts on IDNLearn.com. Our platform offers reliable and detailed answers, ensuring you have the information you need.

After Myong's cylindrical birthday cake was sliced, she received the slice at right. If her birthday cake originally
had a diameter of 14 inches and a height of 6 inches, find the volume of her slice of cake.

Sagot :

Raphealnwobiidn

Answer:

97.53 in³

Step-by-step explanation:

The cylindrical birthday cake has a diameter (d) of 14 inches and a height (h) of 6 inches.

The radius of the cake (r) = diameter / 2 = 14 inches / 2 = 7 inches.

The volume of the full cake = πr²h = π(7²)6 = 924 in³

Since only a part of the cake was cut and given to Myong. The total measure of the cake is 360°, but the part given to her was 38°. Hence the volume of her slice is given as:

Volume of her slice = (38 / 360) * volume of the full cake = (38 / 360) * 924 = 97.53 in³

Volume of her slice = 97.53 in³

View image Raphealnwobi
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. IDNLearn.com has the solutions to your questions. Thanks for stopping by, and see you next time for more reliable information.