Mrs. Havarti’s art class made five identical conical sculptures. Each sculpture has a diameter of 9 cm and a slant height of 16.5 cm. The lateral area of each sculpture is to be covered with newspaper. How many square centimeters of newspaper are needed to cover the lateral areas of all five sculptures? (Use 3.14 for and round to the nearest hundredth. Recall the formula .)
Answers
Given:
Mrs. Havarti’s art class made five identical conical sculptures. Each sculpture has a diameter of 9 cm and a slant height of 16.5 cm. The lateral area of each sculpture is to be covered with newspaper.
To find:
How many square centimeters of newspaper are needed to cover the lateral areas of all five sculptures?
Solution:
From the given information, we have the data as follows.
Mrs. Havarti’s art class made five identical conical sculptures. Each sculpture has a diameter of 9 cm and a slant height of 16.5 cm. The lateral area of each sculpture is to be covered with newspaper.
⇒ d = 9 cm
⇒ r = d/2 = 9/2 = 4.5 cm
⇒ l = 16.5 cm
The lateral surface area of the each sculpture is given by the formula as follows.
L = πrl
L = 3.14 × 4.5 × 16.5
L = 233 cm²
Therefore, the lateral areas of all five sculptures is given as follows,
= 233 × 5
= 1165 cm²
Therefore, 1165 cm² of newspaper are needed to cover the lateral areas of all five sculptures.