Pregunta
upstudy study bank question image url

2.6 The tin has an inner radius of 3.3 cm . Calculate the height (in cm ) of the paint in the tin, if 1 litre \( =1000 \mathrm{~cm}^{3} \). You may use the following formula: Height \( =\frac{\text { Volume }}{3,142 \times \text { (radius }^{2}} \)

Ask by Howell Reeves. in South Africa
Feb 21,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

The height of the paint in the tin is approximately 29.2 cm.

Solución

We are given that the volume of paint is 1000 cm³, the inner radius of the tin is 3.3 cm, and that the formula for the height of paint in a cylindrical tin is:   Height = Volume ÷ (3.142 × (radius)²) Step 1. Calculate the radius squared:   (3.3)² = 10.89 Step 2. Multiply by 3.142:   3.142 × 10.89 ≈ 34.217 Step 3. Divide the volume by this number:   Height = 1000 cm³ ÷ 34.217 ≈ 29.22 cm Thus, the height of the paint in the tin is approximately 29.2 cm.

Respondido por UpStudy AI y revisado por un tutor profesional

error msg
Explicar
Simplifique esta solución

Beyond the Answer

To find the height of paint in the tin, we'll use the volume of paint provided (1 liter = 1000 cm³) and the inner radius of the tin (3.3 cm). Plugging these values into the formula, we have: Height = Volume / (3.142 x (radius²)) = 1000 / (3.142 x (3.3)²) ≈ 28.6 cm. So, the height of the paint in the tin is approximately 28.6 cm! When it comes to understanding the importance of measurements, they’ve played a significant role throughout history. Ancient civilizations were the pioneers in inventing units of measure. For example, the Egyptians utilized the cubit for building their monumental structures. Let's just say that without accurate measurement, we might still be trying to figure out how to stack bricks! So, the next time you're calculating something, remember that you’re part of a long tradition of measurement!

Latest Geometry Questions

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde Hazte Premium
Estudiar puede ser una verdadera lucha
¿Por qué no estudiarlo en UpStudy?
Seleccione su plan a continuación
Prima

Puedes disfrutar

Empieza ahora
  • Explicaciones paso a paso
  • Tutores expertos en vivo 24/7
  • Número ilimitado de preguntas
  • Sin interrupciones
  • Acceso completo a Respuesta y Solución
  • Acceso completo al chat de PDF, al chat de UpStudy y al chat de navegación
Básico

Totalmente gratis pero limitado

  • Solución limitada
Bienvenido a ¡Estudia ahora!
Inicie sesión para continuar con el recorrido de Thoth AI Chat
Continuar con correo electrónico
O continuar con
Al hacer clic en "Iniciar sesión", acepta nuestros términos y condiciones. Términos de Uso & Política de privacidad