Question

question 6. the dimensions of the cone are: diameter = 11 cm, height = 30 cm and slant height = 30.5 cm. how much paper does he need to make the party hat? a. 2,108 sq cm b. 622 sq cm c. 527 sq cm d. 1,054 sq cm

Explanation:

Step1: Find the radius

The diameter $d = 11$ cm, so the radius $r=\frac{d}{2}=\frac{11}{2}= 5.5$ cm.

Step2: Use the formula for lateral - surface area of a cone

The formula for the lateral - surface area of a cone is $A=\pi rl$, where $r$ is the radius and $l$ is the slant height. Given $r = 5.5$ cm and $l=30.5$ cm. Then $A=\pi\times5.5\times30.5$.

Step3: Calculate the value

$A = 3.14\times5.5\times30.5=3.14\times167.75 = 526.935\approx527$ sq cm.

Answer:

C. 527 sq cm